Dado el vector a ⃗ = ( 4 , − 3 ) a⃗=(4,-3) a ⃗ = ( 4 , − 3 ) y el punto origen del vector A = ( 1 , − 2 ) A=\left(1,-2\right) A = ( 1 , − 2 ) , hallar las coordenadas del punto extremo para que el vector fijo represente al vector.

B = ( 5 , − 5 ) B=\left(5,-5\right) B = ( 5 , − 5 )

B = ( 3 , − 1 ) B=\left(3,-1\right) B = ( 3 , − 1 )

B = ( − 1 , 3 ) B=\left(-1,3\right) B = ( − 1 , 3 )

B = ( 5 , − 1 ) B=\left(5,-1\right) B = ( 5 , − 1 )

Sean los vectores v ⃗ = ( 2 , 5 ) v⃗=(2,5) v ⃗ = ( 2 , 5 ) y w ⃗ = ( 4 , 1 ) w⃗=(4,1) w ⃗ = ( 4 , 1 ) calcular el vector v ⃗ = u ⃗ + 3 w ⃗ v⃗=u⃗+3w⃗ v ⃗ = u ⃗ + 3 w ⃗

u ⃗ = ( − 10 , 2 ) u⃗=(-10,2) u ⃗ = ( − 1 0 , 2 )

u ⃗ = ( 14 , 8 ) u⃗=(14,8) u ⃗ = ( 1 4 , 8 )

u ⃗ = ( 10 , − 2 ) u⃗=(10,-2) u ⃗ = ( 1 0 , − 2 )

El vector v → = ( 2 , 1 , 3 ) \overrightarrow{v}\ =\left(2,\ 1,\ 3\right) 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"> = ( 2 , 1 , 3 ) ......

es paralelo a el vector ( 4 , 2 , 6 ) \left(4,\ 2,\ 6\right) ( 4 , 2 , 6 )

tiene módulo 13 \sqrt{13} 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

es perpendicular a ( − 2 , − 1 , − 3 ) \left(-2,-1,\ -3\right) ( − 2 , − 1 , − 3 )

¿Cuál es el módulo del vector a → = ( 8 , − 6 ) \overrightarrow{a}\ =\left(8,\ -6\right) 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"> = ( 8 , − 6 ) ?

∣ a ∣ → = 10 \overrightarrow{\left|a\right|}=10 ∣ 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"> = 1 0

∣ a ∣ → = − 10 \overrightarrow{\left|a\right|}=-10 ∣ 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"> = − 1 0

∣ a ∣ → = 28 \overrightarrow{\left|a\right|}=\sqrt{28} ∣ 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"> = 2 8 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

∣ a ∣ → = 2 \overrightarrow{\left|a\right|}=\sqrt{2} ∣ 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"> = 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Evaluación Vectores Tema 2

Authored by Maricel Antonini

Mathematics

University

Used 3+ times

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10 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Un vector es un segmento orientado que tiene...

Dirección, velocidad y sentido.

Dirección, módulo y sentido.

Dirección, sentido y sensibilidad.

Módulo, dirección y orientación.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

El vector unitario es aquel que:

Tiene ángulo igual a la unidad

Tiene magnitud igual a la unidad

Tiene dirección igual a la unidad

Tiene un producto igual a la unidad

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Dado el vector $a⃗=(4,-3)$ y el punto origen del vector $A=\left(1,-2\right)$ , hallar las coordenadas del punto extremo para que el vector fijo represente al vector.

$B=\left(3,-1\right)$

$B=\left(5,-5\right)$

$B=\left(-1,3\right)$

$B=\left(5,-1\right)$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

El valor de $k$ para que los vectores $\overrightarrow{u}=\left(-\frac{6}{5};-3\right)$ y $\overrightarrow{w}=\left(-\frac{5}{4};k\right)\$ resulten perpendiculares es...

$\frac{1}{2}$

$\frac{9}{2}$

$-\frac{1}{2}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Sean los vectores $v⃗=(2,5)$ y $w⃗=(4,1)$ calcular el vector $v⃗=u⃗+3w⃗$

$u⃗=(14,8)$

$u⃗=(-10,2)$

$u⃗=(10,-2)$

Ninguna es correcta

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

El vector v = (-2, 1) tiene la misma dirección que el vector:

( 2, 1)

( 2, -1 )

( -2, -1 )

Todas las respuestas son correctas

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

El vector $\overrightarrow{v}\ =\left(2,\ 1,\ 3\right)$ ......

es paralelo a el vector $\left(4,\ 2,\ 6\right)$

tiene módulo $\sqrt{13}$

ninguna respuesta es correcta

es perpendicular a $\left(-2,-1,\ -3\right)$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Dados los vectores $\overrightarrow{u}=\left(2,2\right)$ , $\overrightarrow{v\ }\ =\left(x,\ 5\right)$ y $\overrightarrow{w\ }\ =\left(6,\ y\right)$ , calcular "x" e "y" para que se verifique:

$\overrightarrow{v}\ =2\overrightarrow{u}-\overrightarrow{w\ }$

x = 3 ; y = -1

x = -2 ; y = -1

x = 3 ; y = -2

x = -2 ; y = -3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

¿Cuál es el módulo del vector $\overrightarrow{a}\ =\left(8,\ -6\right)$ ?

$\overrightarrow{\left|a\right|}=-10$

$\overrightarrow{\left|a\right|}=10$

$\overrightarrow{\left|a\right|}=\sqrt{28}$

$\overrightarrow{\left|a\right|}=\sqrt{2}$

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

¿Cuanto mide aproximadamente el ángulo entre los vectores $a⃗\ =(2,\ 5)$ y $\overrightarrow{b}=(-3,2)$ ?

$54\degree$

$78\degree$

$12\degree$

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Evaluación Vectores Tema 2

Un vector es un segmento orientado que tiene...

El vector unitario es aquel que:

Dado el vector a⃗=(4,−3)a⃗=(4,-3)a⃗=(4,−3) y el punto origen del vector A=(1,−2)A=\left(1,-2\right)A=(1,−2) , hallar las coordenadas del punto extremo para que el vector fijo represente al vector.

El valor de kkk para que los vectores u→=(−65;−3)\overrightarrow{u}=\left(-\frac{6}{5};-3\right)u=(−56​;−3) y w→=(−54;k) \overrightarrow{w}=\left(-\frac{5}{4};k\right)\ w=(−45​;k) resulten perpendiculares es...

Sean los vectores v⃗=(2,5)v⃗=(2,5)v⃗=(2,5) y w⃗=(4,1)w⃗=(4,1)w⃗=(4,1) calcular el vector v⃗=u⃗+3w⃗v⃗=u⃗+3w⃗v⃗=u⃗+3w⃗

El vector v = (-2, 1) tiene la misma dirección que el vector:

El vector v→ =(2, 1, 3)\overrightarrow{v}\ =\left(2,\ 1,\ 3\right)v =(2, 1, 3) ......

¿Cuál es el módulo del vector a→ =(8, −6)\overrightarrow{a}\ =\left(8,\ -6\right)a =(8, −6) ?

¿Cuanto mide aproximadamente el ángulo entre los vectores a⃗ =(2, 5)a⃗\ =(2,\ 5)a⃗ =(2, 5) y b→=(−3,2)\overrightarrow{b}=(-3,2)b=(−3,2) ?

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Dado el vector $a⃗=(4,-3)$ y el punto origen del vector $A=\left(1,-2\right)$ , hallar las coordenadas del punto extremo para que el vector fijo represente al vector.

El valor de $k$ para que los vectores $\overrightarrow{u}=\left(-\frac{6}{5};-3\right)$ y $\overrightarrow{w}=\left(-\frac{5}{4};k\right)\$ resulten perpendiculares es...

Sean los vectores $v⃗=(2,5)$ y $w⃗=(4,1)$ calcular el vector $v⃗=u⃗+3w⃗$

El vector $\overrightarrow{v}\ =\left(2,\ 1,\ 3\right)$ ......

¿Cuál es el módulo del vector $\overrightarrow{a}\ =\left(8,\ -6\right)$ ?

¿Cuanto mide aproximadamente el ángulo entre los vectores $a⃗\ =(2,\ 5)$ y $\overrightarrow{b}=(-3,2)$ ?