Určete souřadnice vektoru u → \overrightarrow{u} u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , který je dán orientovanou úsečkou A B → \overrightarrow{AB} A B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> : A [ 5 ; − 9 ] , B [ 2 ; − 4 ] A\left[5;-9\right],\ B\left[2;-4\right] A [ 5 ; − 9 ] , B [ 2 ; − 4 ]

( − 3 ; 5 ) \left(-3;\ 5\right) ( − 3 ; 5 )

( 3 ; − 5 ) \left(3;\ -5\right) ( 3 ; − 5 )

( 3 ; − 13 ) \left(3;\ -13\right) ( 3 ; − 1 3 )

( − 3 ; − 13 ) \left(-3;\ -13\right) ( − 3 ; − 1 3 )

Určete souřadnice vektoru u → \overrightarrow{u} u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , který je dán orientovanou úsečkou A B → \overrightarrow{AB} A B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> : A [ − 5 ; − 2 ] , B [ 4 ; − 1 ] A\left[-5;-2\right],\ B\left[4;-1\right] A [ − 5 ; − 2 ] , B [ 4 ; − 1 ]

( 9 ; 1 ) \left(9;\ 1\right) ( 9 ; 1 )

( − 9 ; − 3 ) \left(-9;\ -3\right) ( − 9 ; − 3 )

( − 9 ; − 1 ) \left(-9;\ -1\right) ( − 9 ; − 1 )

( − 1 ; − 3 ) \left(-1;\ -3\right) ( − 1 ; − 3 )

Určete souřadnice vektoru v → \overrightarrow{v} v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , který je dán orientovanou úsečkou D C → \overrightarrow{DC} D C <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> : C [ 8 ; 2 ] , D [ 3 ; − 7 ] C\left[8;\ 2\right],\ D\left[3;-7\right] C [ 8 ; 2 ] , D [ 3 ; − 7 ]

( 5 ; 9 ) \left(5;\ 9\right) ( 5 ; 9 )

( 5 ; − 5 ) \left(5;\ -5\right) ( 5 ; − 5 )

( − 5 ; − 9 ) \left(-5;\ -9\right) ( − 5 ; − 9 )

( − 5 ; 9 ) \left(-5;\ 9\right) ( − 5 ; 9 )

Určete souřadnice vektoru w → \overrightarrow{w} w <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , který je dán orientovanou úsečkou G H → \overrightarrow{GH} G H <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> : G [ − 4 ; − 3 ] , H [ 2 ; 6 ] G\left[-4;\ -3\right],\ H\left[2;\ 6\right] G [ − 4 ; − 3 ] , H [ 2 ; 6 ]

( 6 ; 9 ) \left(6;\ 9\right) ( 6 ; 9 )

( − 2 ; 3 ) \left(-2;\ 3\right) ( − 2 ; 3 )

( − 6 ; − 9 ) \left(-6;\ -9\right) ( − 6 ; − 9 )

( 6 ; − 9 ) \left(6;\ -9\right) ( 6 ; − 9 )

Orientovaná úsečka A B → \overrightarrow{AB} A B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> je umístěním vektoru u → \overrightarrow{u} u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> . Určete souřadnice koncového bodu B B B je-li dáno: A [ 0 ; − 3 ] , u → = ( − 4 ; 1 ) A\left[0;-3\right],\ \overrightarrow{u}=\left(-4;\ 1\right) A [ 0 ; − 3 ] , u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 4 ; 1 )

[ − 4 ; − 2 ] \left[-4;\ -2\right] [ − 4 ; − 2 ]

[ 4 ; 2 ] \left[4;\ 2\right] [ 4 ; 2 ]

[ − 4 ; 2 ] \left[-4;\ 2\right] [ − 4 ; 2 ]

[ 4 ; − 2 ] \left[4;\ -2\right] [ 4 ; − 2 ]

Orientovaná úsečka I J → \overrightarrow{IJ} I J <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> je umístěním vektoru u → \overrightarrow{u} u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> . Určete souřadnice koncového bodu J J J je-li dáno: I [ − 3 ; − 3 ] , u → = ( 5 ; 0 ) I\left[-3;-3\right],\ \overrightarrow{u}=\left(5;\ 0\right) I [ − 3 ; − 3 ] , u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 5 ; 0 )

[ 2 ; − 3 ] \left[2;\ -3\right] [ 2 ; − 3 ]

[ − 2 ; − 3 ] \left[-2;\ -3\right] [ − 2 ; − 3 ]

[ 2 ; 3 ] \left[2;\ 3\right] [ 2 ; 3 ]

[ − 2 ; 3 ] \left[-2;\ 3\right] [ − 2 ; 3 ]

Orientovaná úsečka F E → \overrightarrow{FE} F E <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> je umístěním vektoru v → \overrightarrow{v} v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> . Určete souřadnice počátečního bodu F F F je-li dáno: E [ 2 , 5 ; 4 ] , u → = ( − 7 ; − 3 ) E\left[2,5;\ 4\right],\ \overrightarrow{u}=\left(-7;\ -3\right) E [ 2 , 5 ; 4 ] , u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 7 ; − 3 )

[ 9 , 5 ; 7 ] \left[9,5;\ 7\right] [ 9 , 5 ; 7 ]

[ − 9 , 5 ; − 7 ] \left[-9,5;\ -7\right] [ − 9 , 5 ; − 7 ]

[ − 9 , 5 ; 7 ] \left[-9,5;\ 7\right] [ − 9 , 5 ; 7 ]

[ 9 , 5 ; − 7 ] \left[9,5;\ -7\right] [ 9 , 5 ; − 7 ]

Orientovaná úsečka K L → \overrightarrow{KL} K L <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> je umístěním vektoru v → \overrightarrow{v} v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> . Určete souřadnice počátečního bodu K K K je-li dáno: L [ 10 ; − 4 ] , u → = ( − 7 ; 3 ) L\left[10;\ -4\right],\ \overrightarrow{u}=\left(-7;\ 3\right) L [ 1 0 ; − 4 ] , u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 7 ; 3 )

[ 17 ; − 7 ] \left[17;\ -7\right] [ 1 7 ; − 7 ]

[ − 17 ; − 7 ] \left[-17;\ -7\right] [ − 1 7 ; − 7 ]

[ 17 ; 7 ] \left[17;\ 7\right] [ 1 7 ; 7 ]

[ − 17 ; 7 ] \left[-17;\ 7\right] [ − 1 7 ; 7 ]

Určete vektor w → = u → + v → \overrightarrow{w}=\overrightarrow{u}+\overrightarrow{v} w <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> + v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , kde: u → = ( 1 ; − 3 , 5 ) , v → = ( − 4 ; 6 ) \overrightarrow{u}=\left(1;\ -3,5\right),\ \overrightarrow{v}=\left(-4;\ 6\right) u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 ; − 3 , 5 ) , v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 4 ; 6 )

( − 3 ; 2 , 5 ) \left(-3;\ 2,5\right) ( − 3 ; 2 , 5 )

( − 3 ; − 2 , 5 ) \left(-3;\ -2,5\right) ( − 3 ; − 2 , 5 )

( 3 ; 2 , 5 ) \left(3;\ 2,5\right) ( 3 ; 2 , 5 )

( 3 ; − 2 , 5 ) \left(3;\ -2,5\right) ( 3 ; − 2 , 5 )

Určete vektor w → = v → − u → \overrightarrow{w}=\overrightarrow{v}-\overrightarrow{u} w <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> − u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , kde: u → = ( 0 ; 7 ) , v → = ( − 1 ; − 9 ) \overrightarrow{u}=\left(0;\ 7\right),\ \overrightarrow{v}=\left(-1;\ -9\right) u <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 0 ; 7 ) , v <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 1 ; − 9 )

( − 1 ; − 16 ) \left(-1;\ -16\right) ( − 1 ; − 1 6 )

( 1 ; 16 ) \left(1;\ 16\right) ( 1 ; 1 6 )

( − 1 ; 16 ) \left(-1;\ 16\right) ( − 1 ; 1 6 )

( 1 ; − 16 ) \left(1;\ -16\right) ( 1 ; − 1 6 )

Určete vektor a → = b → + 2 c → \overrightarrow{a}=\overrightarrow{b}+2\overrightarrow{c} a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> + 2 c <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , kde: b → = ( − 3 ; − 5 ) , c → = ( − 4 ; 11 ) \overrightarrow{b}=\left(-3;\ -5\right),\ \overrightarrow{c}=\left(-4;\ 11\right) b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 3 ; − 5 ) , c <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( − 4 ; 1 1 )

( − 2 ; − 11 ) \left(-2;\ -11\right) ( − 2 ; − 1 1 )

( 2 ; 11 ) \left(2;\ 11\right) ( 2 ; 1 1 )

( − 2 ; 11 ) \left(-2;\ 11\right) ( − 2 ; 1 1 )

( 2 ; − 11 ) \left(2;\ -11\right) ( 2 ; − 1 1 )

Určete vektor a → = − 4 b → − 2 c → \overrightarrow{a}=-4\overrightarrow{b}-2\overrightarrow{c} a <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = − 4 b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> − 2 c <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> , kde: b → = ( 3 ; 5 ) , c → = ( 1 ; 8 ) \overrightarrow{b}=\left(3;\ 5\right),\ \overrightarrow{c}=\left(1;\ 8\right) b <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 3 ; 5 ) , c <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> = ( 1 ; 8 )

( 2 ; − 10 ) \left(2;\ -10\right) ( 2 ; − 1 0 )

( − 2 ; − 10 ) \left(-2;\ -10\right) ( − 2 ; − 1 0 )

( 2 ; 10 ) \left(2;\ 10\right) ( 2 ; 1 0 )

( − 2 ; 10 ) \left(-2;\ 10\right) ( − 2 ; 1 0 )

Vektory

Authored by Adéla Holendová

Mathematics

12th Grade - University

CCSS covered

Used 4+ times

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12 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Určete souřadnice vektoru $\overrightarrow{u}$ , který je dán orientovanou úsečkou $\overrightarrow{AB}$ :

$A\left[5;-9\right],\ B\left[2;-4\right]$

$\left(-3;\ 5\right)$

$\left(3;\ -5\right)$

$\left(3;\ -13\right)$

$\left(-3;\ -13\right)$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Určete souřadnice vektoru $\overrightarrow{u}$ , který je dán orientovanou úsečkou $\overrightarrow{AB}$ :

$A\left[-5;-2\right],\ B\left[4;-1\right]$

$\left(9;\ 1\right)$

$\left(-9;\ -3\right)$

$\left(-9;\ -1\right)$

$\left(-1;\ -3\right)$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Určete souřadnice vektoru $\overrightarrow{v}$ , který je dán orientovanou úsečkou $\overrightarrow{DC}$ :

$C\left[8;\ 2\right],\ D\left[3;-7\right]$

$\left(5;\ 9\right)$

$\left(5;\ -5\right)$

$\left(-5;\ -9\right)$

$\left(-5;\ 9\right)$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Určete souřadnice vektoru $\overrightarrow{w}$ , který je dán orientovanou úsečkou $\overrightarrow{GH}$ :

$G\left[-4;\ -3\right],\ H\left[2;\ 6\right]$

$\left(6;\ 9\right)$

$\left(-2;\ 3\right)$

$\left(-6;\ -9\right)$

$\left(6;\ -9\right)$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Orientovaná úsečka $\overrightarrow{AB}$ je umístěním vektoru $\overrightarrow{u}$ . Určete souřadnice koncového bodu $B$ je-li dáno:

$A\left[0;-3\right],\ \overrightarrow{u}=\left(-4;\ 1\right)$

$\left[-4;\ -2\right]$

$\left[4;\ 2\right]$

$\left[-4;\ 2\right]$

$\left[4;\ -2\right]$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Orientovaná úsečka $\overrightarrow{IJ}$ je umístěním vektoru $\overrightarrow{u}$ . Určete souřadnice koncového bodu $J$ je-li dáno:

$I\left[-3;-3\right],\ \overrightarrow{u}=\left(5;\ 0\right)$

$\left[-2;\ -3\right]$

$\left[2;\ 3\right]$

$\left[-2;\ 3\right]$

$\left[2;\ -3\right]$

Tags

CCSS.HSN.VM.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Orientovaná úsečka $\overrightarrow{FE}$ je umístěním vektoru $\overrightarrow{v}$ . Určete souřadnice počátečního bodu $F$ je-li dáno:

$E\left[2,5;\ 4\right],\ \overrightarrow{u}=\left(-7;\ -3\right)$

$\left[-9,5;\ -7\right]$

$\left[9,5;\ 7\right]$

$\left[-9,5;\ 7\right]$

$\left[9,5;\ -7\right]$

Tags

CCSS.HSN.VM.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Orientovaná úsečka $\overrightarrow{KL}$ je umístěním vektoru $\overrightarrow{v}$ . Určete souřadnice počátečního bodu $K$ je-li dáno:

$L\left[10;\ -4\right],\ \overrightarrow{u}=\left(-7;\ 3\right)$

$\left[-17;\ -7\right]$

$\left[17;\ 7\right]$

$\left[-17;\ 7\right]$

$\left[17;\ -7\right]$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Určete vektor $\overrightarrow{w}=\overrightarrow{u}+\overrightarrow{v}$ , kde:

$\overrightarrow{u}=\left(1;\ -3,5\right),\ \overrightarrow{v}=\left(-4;\ 6\right)$

$\left(-3;\ -2,5\right)$

$\left(3;\ 2,5\right)$

$\left(-3;\ 2,5\right)$

$\left(3;\ -2,5\right)$

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Určete vektor $\overrightarrow{w}=\overrightarrow{v}-\overrightarrow{u}$ , kde:

$\overrightarrow{u}=\left(0;\ 7\right),\ \overrightarrow{v}=\left(-1;\ -9\right)$

$\left(-1;\ -16\right)$

$\left(1;\ 16\right)$

$\left(-1;\ 16\right)$

$\left(1;\ -16\right)$

Tags

CCSS.HSN-VM.B.4C

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Vektory

Určete souřadnice vektoru u→\overrightarrow{u}u , který je dán orientovanou úsečkou AB→\overrightarrow{AB}AB : A[5;−9], B[2;−4]A\left[5;-9\right],\ B\left[2;-4\right]A[5;−9], B[2;−4]

Určete souřadnice vektoru u→\overrightarrow{u}u , který je dán orientovanou úsečkou AB→\overrightarrow{AB}AB : A[−5;−2], B[4;−1]A\left[-5;-2\right],\ B\left[4;-1\right]A[−5;−2], B[4;−1]

Určete souřadnice vektoru v→\overrightarrow{v}v , který je dán orientovanou úsečkou DC→\overrightarrow{DC}DC : C[8; 2], D[3;−7]C\left[8;\ 2\right],\ D\left[3;-7\right]C[8; 2], D[3;−7]

Určete souřadnice vektoru w→\overrightarrow{w}w , který je dán orientovanou úsečkou GH→\overrightarrow{GH}GH : G[−4; −3], H[2; 6]G\left[-4;\ -3\right],\ H\left[2;\ 6\right]G[−4; −3], H[2; 6]

Orientovaná úsečka AB→\overrightarrow{AB}AB je umístěním vektoru u→\overrightarrow{u}u . Určete souřadnice koncového bodu BBB je-li dáno: A[0;−3], u→=(−4; 1)A\left[0;-3\right],\ \overrightarrow{u}=\left(-4;\ 1\right)A[0;−3], u=(−4; 1)

Orientovaná úsečka IJ→\overrightarrow{IJ}IJ je umístěním vektoru u→\overrightarrow{u}u . Určete souřadnice koncového bodu JJJ je-li dáno: I[−3;−3], u→=(5; 0)I\left[-3;-3\right],\ \overrightarrow{u}=\left(5;\ 0\right)I[−3;−3], u=(5; 0)

Orientovaná úsečka FE→\overrightarrow{FE}FE je umístěním vektoru v→\overrightarrow{v}v . Určete souřadnice počátečního bodu FFF je-li dáno: E[2,5; 4], u→=(−7; −3)E\left[2,5;\ 4\right],\ \overrightarrow{u}=\left(-7;\ -3\right)E[2,5; 4], u=(−7; −3)

Orientovaná úsečka KL→\overrightarrow{KL}KL je umístěním vektoru v→\overrightarrow{v}v . Určete souřadnice počátečního bodu KKK je-li dáno: L[10; −4], u→=(−7; 3)L\left[10;\ -4\right],\ \overrightarrow{u}=\left(-7;\ 3\right)L[10; −4], u=(−7; 3)

Určete vektor w→=u→+v→\overrightarrow{w}=\overrightarrow{u}+\overrightarrow{v}w=u+v , kde: u→=(1; −3,5), v→=(−4; 6)\overrightarrow{u}=\left(1;\ -3,5\right),\ \overrightarrow{v}=\left(-4;\ 6\right)u=(1; −3,5), v=(−4; 6)

Určete vektor w→=v→−u→\overrightarrow{w}=\overrightarrow{v}-\overrightarrow{u}w=v−u , kde: u→=(0; 7), v→=(−1; −9)\overrightarrow{u}=\left(0;\ 7\right),\ \overrightarrow{v}=\left(-1;\ -9\right)u=(0; 7), v=(−1; −9)

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Určete souřadnice vektoru $\overrightarrow{u}$ , který je dán orientovanou úsečkou $\overrightarrow{AB}$ :

$A\left[5;-9\right],\ B\left[2;-4\right]$

Určete souřadnice vektoru $\overrightarrow{u}$ , který je dán orientovanou úsečkou $\overrightarrow{AB}$ :

$A\left[-5;-2\right],\ B\left[4;-1\right]$

Určete souřadnice vektoru $\overrightarrow{v}$ , který je dán orientovanou úsečkou $\overrightarrow{DC}$ :

$C\left[8;\ 2\right],\ D\left[3;-7\right]$

Určete souřadnice vektoru $\overrightarrow{w}$ , který je dán orientovanou úsečkou $\overrightarrow{GH}$ :

$G\left[-4;\ -3\right],\ H\left[2;\ 6\right]$

Orientovaná úsečka $\overrightarrow{AB}$ je umístěním vektoru $\overrightarrow{u}$ . Určete souřadnice koncového bodu $B$ je-li dáno:

$A\left[0;-3\right],\ \overrightarrow{u}=\left(-4;\ 1\right)$

Orientovaná úsečka $\overrightarrow{IJ}$ je umístěním vektoru $\overrightarrow{u}$ . Určete souřadnice koncového bodu $J$ je-li dáno:

$I\left[-3;-3\right],\ \overrightarrow{u}=\left(5;\ 0\right)$

Orientovaná úsečka $\overrightarrow{FE}$ je umístěním vektoru $\overrightarrow{v}$ . Určete souřadnice počátečního bodu $F$ je-li dáno:

$E\left[2,5;\ 4\right],\ \overrightarrow{u}=\left(-7;\ -3\right)$

Orientovaná úsečka $\overrightarrow{KL}$ je umístěním vektoru $\overrightarrow{v}$ . Určete souřadnice počátečního bodu $K$ je-li dáno:

$L\left[10;\ -4\right],\ \overrightarrow{u}=\left(-7;\ 3\right)$

Určete vektor $\overrightarrow{w}=\overrightarrow{u}+\overrightarrow{v}$ , kde:

$\overrightarrow{u}=\left(1;\ -3,5\right),\ \overrightarrow{v}=\left(-4;\ 6\right)$

Určete vektor $\overrightarrow{w}=\overrightarrow{v}-\overrightarrow{u}$ , kde:

$\overrightarrow{u}=\left(0;\ 7\right),\ \overrightarrow{v}=\left(-1;\ -9\right)$