Vektor satuan dari vektor \overrightarrow{u}=4\overline{i}-2\overline{j}+4\overline{k} 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 i − 2 j + 4 k adalah...

( 2 3 , − 1 3 , 2 3 ) \left(\frac{2}{3},-\frac{1}{3},\frac{2}{3}\right) ( 3 2 , − 3 1 , 3 2 )

( − 2 3 , 1 3 , − 2 3 ) \left(-\frac{2}{3},\frac{1}{3},-\frac{2}{3}\right) ( − 3 2 , 3 1 , − 3 2 )

( 1 3 , − 2 3 , 1 3 ) \left(\frac{1}{3},-\frac{2}{3},\frac{1}{3}\right) ( 3 1 , − 3 2 , 3 1 )

( 2 3 , − 1 3 , 2 3 ) \left(\frac{2}{3},-\frac{1}{3},\frac{2}{3}\right) ( 3 2 , − 3 1 , 3 2 )

( 2 3 , 1 3 , 2 3 ) \left(\frac{2}{3},\frac{1}{3},\frac{2}{3}\right) ( 3 2 , 3 1 , 3 2 )

D i k e t a h u i a ⃗ = 2 i + 5 j + 4 k Diketahui\ a⃗=2i+5j+4k D i k e t a h u i a ⃗ = 2 i + 5 j + 4 k b ⃗ = − i + 3 j + 7 k d a n b⃗=-i+3j+7k\ dan b ⃗ = − i + 3 j + 7 k d a n c ⃗ = 5 i − 2 j − k T e n t u k a n a ⃗ + b ⃗ ! c⃗=5i-2j-k\ Tentukan\ a⃗+b⃗! c ⃗ = 5 i − 2 j − k T e n t u k a n a ⃗ + b ⃗ !

( 1 , 8 , 11 ) \left(1,8,11\right) ( 1 , 8 , 1 1 )

( 3 , 8 , 11 ) \left(3,8,11\right) ( 3 , 8 , 1 1 )

( 3 , − 8 , 11 ) \left(3,-8,11\right) ( 3 , − 8 , 1 1 )

( 1 , − 8 , 11 ) \left(1,-8,11\right) ( 1 , − 8 , 1 1 )

( − 1 , 8 , 11 ) \left(-1,8,11\right) ( − 1 , 8 , 1 1 )

D i k e t a h u i a ⃗ = 2 i + 5 j + 4 k Diketahui\ a⃗=2i+5j+4k D i k e t a h u i a ⃗ = 2 i + 5 j + 4 k 𝑏 = − 𝑖 + 3 𝑗 + 7 𝑘 d a n 𝑐 = 5 𝑖 − 2 𝑗 − 𝑘 𝑏=−𝑖+3𝑗+7𝑘\ dan\ 𝑐=5𝑖−2𝑗−𝑘 b = − i + 3 j + 7 k d a n c = 5 i − 2 j − k T e n t u k a n a ⃗ − c ⃗ ! Tentukan\ a⃗-c⃗! T e n t u k a n a ⃗ − c ⃗ !

( − 3 , 7 , 5 ) (-3,7,5) ( − 3 , 7 , 5 )

( − 3 , 7 , − 5 ) (-3,7,-5) ( − 3 , 7 , − 5 )

( 3 , 7 , 5 ) (3,7,5) ( 3 , 7 , 5 )

( 7 , 7 , 3 ) \left(7,7,3\right) ( 7 , 7 , 3 )

( − 7 , 7 , 3 ) \left(-7,7,3\right) ( − 7 , 7 , 3 )

D i k e t a h u i t i t i k A ( 5 , − 1 , 2 ) d a n Diketahui\ titik\ A(5,-1,2)\ dan\ D i k e t a h u i t i t i k A ( 5 , − 1 , 2 ) d a n B ( 2 , 2 , − 1 ) . B(2,2,-1).\ B ( 2 , 2 , − 1 ) . Jika titik C terletak pada ruas garis AB sedemikian sehingga A C : C B = 1 : 2. T e n t u k a n k o o r d i n a t AC:CB=1:2.Tentukan\ koordinat\ A C : C B = 1 : 2 . T e n t u k a n k o o r d i n a t t i t i k C ! titik\ C! t i t i k C !

( 4 , 0 , 1 ) \left(4,0,1\right) ( 4 , 0 , 1 )

( 4 , 1 , 1 ) \left(4,1,1\right) ( 4 , 1 , 1 )

( 4 , 0 , 0 ) \left(4,0,0\right) ( 4 , 0 , 0 )

( 12 , 0 , 3 ) \left(12,0,3\right) ( 1 2 , 0 , 3 )

( 12 , 0 , 0 ) \left(12,0,0\right) ( 1 2 , 0 , 0 )

Diketahui a → = 4 i − 5 j + 3 k \overrightarrow{a}=4i-5j+3k 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 i − 5 j + 3 k , b → = 2 i + 2 j + k \overrightarrow{b}=2i+2j+k 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 i + 2 j + k , dan c → = 4 i + j − k \overrightarrow{c}=4i+j-k 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 i + j − k . Jika p → = a → − 2 b → + 3 c → \overrightarrow{p}=\overrightarrow{a}-2\overrightarrow{b}+3\overrightarrow{c} p <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 <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 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 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"> panjang vektor p → \overrightarrow{p} p <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"> adalah ....

2 46 2\sqrt{46} 2 4 6 <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">

3 46 3\sqrt{46} 3 4 6 <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">

46 \sqrt{46} 4 6 <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">

23 \sqrt{23} 2 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">

2 23 2\sqrt{23} 2 2 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">

VEktor di R^3

Authored by Siti Tusiyam

Mathematics

1st Grade

CCSS covered

Used 9+ times

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20 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Jika A (3, 2, 1) dan B (6, 5, 4), maka vektor $\overrightarrow{AB}$ adalah ...

(3 , 3, 3)

(3, 2, 1)

(1, 2, 3)

(-3, -3, -3)

(-3, 3, -3)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui vektor $\overrightarrow{CD}$ = (-5 0 3). Jika koordinat titik D (6, 4, -1), koordinat titik C adalah . . .

(11, 4, -4)

(11, -4, -4)

(11, 4, 4)

(-11, 4, -4)

(-11, -4, 4)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Panjang vektor $\overrightarrow{r}=14i+2j-5k$ adalah....

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui vektor-vektor berikut: $\overrightarrow{b}=5\overline{i}+4\overline{j}-\overline{k}$ dan $\overrightarrow{c}=4\overline{i}-\overline{j}+\overline{k}$ . panjang dari vektor $\overrightarrow{b}-\overrightarrow{c}$ adalah...

$5\sqrt{3}$

$5\sqrt{6}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Vektor satuan dari vektor $\overrightarrow{u}=4\overline{i}-2\overline{j}+4\overline{k}$ adalah...

$\left(\frac{2}{3},-\frac{1}{3},\frac{2}{3}\right)$

$\left(-\frac{2}{3},\frac{1}{3},-\frac{2}{3}\right)$

$\left(\frac{1}{3},-\frac{2}{3},\frac{1}{3}\right)$

$\left(\frac{2}{3},-\frac{1}{3},\frac{2}{3}\right)$

$\left(\frac{2}{3},\frac{1}{3},\frac{2}{3}\right)$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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VEktor di R^3

Jika A (3, 2, 1) dan B (6, 5, 4), maka vektor $\overrightarrow{AB}$ adalah ...

Diketahui vektor $\overrightarrow{CD}$ = (-5 0 3). Jika koordinat titik D (6, 4, -1), koordinat titik C adalah . . .

Panjang vektor $\overrightarrow{r}=14i+2j-5k$ adalah....

Diketahui vektor-vektor berikut: $\overrightarrow{b}=5\overline{i}+4\overline{j}-\overline{k}$ dan $\overrightarrow{c}=4\overline{i}-\overline{j}+\overline{k}$ . panjang dari vektor $\overrightarrow{b}-\overrightarrow{c}$ adalah...

Vektor satuan dari vektor $\overrightarrow{u}=4\overline{i}-2\overline{j}+4\overline{k}$ adalah...

Diketahui titik-titik A (2, 5, 2), B (3, 2, -1), C (2, 2, 2). Jika a = AB dan b = CA dan c = b - a maka vektor c adalah ... .

Diketahui Titik A(1, 2, 3), B(3, 3, 1) dan C(7, 5, -3). Perbandingan AB : BC adalah ... .

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VEktor di R^3

Jika A (3, 2, 1) dan B (6, 5, 4), maka vektor \overrightarrow{AB}AB adalah ...

Diketahui vektor CD→\overrightarrow{CD}CD = (-5 0 3). Jika koordinat titik D (6, 4, -1), koordinat titik C adalah . . .

Panjang vektor \overrightarrow{r}=14i+2j-5kr=14i+2j−5k adalah....

Vektor satuan dari vektor \overrightarrow{u}=4\overline{i}-2\overline{j}+4\overline{k}u=4i−2j​+4k adalah...

Diketahui titik-titik A (2, 5, 2), B (3, 2, -1), C (2, 2, 2). Jika a = AB dan b = CA dan c = b - a maka vektor c adalah ... .

Diketahui Titik A(1, 2, 3), B(3, 3, 1) dan C(7, 5, -3). Perbandingan AB : BC adalah ... .

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