Diketahui a → = 3 i + 2 j − 2 k \overrightarrow{a}\ =3i+2j-2k 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"> = 3 i + 2 j − 2 k dan b → = − 2 i + 3 j + k \overrightarrow{b}\ =\ -2i+3j+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 + 3 j + k maka 3 a → − 2 b → = 3\overrightarrow{a}\ -2\overrightarrow{b}= 3 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"> = . . . . .

13 i − 8 k 13i-8k 1 3 i − 8 k

13 i + 12 j 13i+12j 1 3 i + 1 2 j

12 i + 13 j 12i+13j 1 2 i + 1 3 j

12 j − 8 k 12j-8k 1 2 j − 8 k

13 i − 12 j 13i-12j 1 3 i − 1 2 j

Vektor linear dari P (-1, -2, -4) adalah ...

− i ‾ − 2 j ‾ − k ‾ -\overline{i}-2\overline{j}-\overline{k} − i − 2 j − k

i ‾ + 2 j ‾ + 4 j ‾ \overline{i\ }+2\overline{j}+4\overline{j} i + 2 j + 4 j

i ‾ − 2 j ‾ + 4 j ‾ \overline{i}-2\overline{j}+4\overline{j} i − 2 j + 4 j

2 j ‾ + 2 j ‾ + 4 k ‾ 2\overline{j}+2\overline{j}+4\overline{k} 2 j + 2 j + 4 k

Jika P ( 0 , 2 , 0 ) P\left(0,2,0\right) P ( 0 , 2 , 0 ) dan Q P → = 2 i → + k → \overrightarrow{QP}=2\overrightarrow{i}+\overrightarrow{k} Q 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"> = 2 i <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"> + k <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"> , maka koordinat titik Q adalah ...

( − 2 , 2 , − 1 ) \left(-2,\ 2,-1\right) ( − 2 , 2 , − 1 )

( 2 , − 1 , 1 ) \left(2,-1,1\right) ( 2 , − 1 , 1 )

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

\left(-2,1,-1\right) ( − 2 , 1 , − 1 )

Diketahui vektor a ‾ = − 2 i ‾ + 5 j ‾ + 4 k ‾ \overline{a}=-2\overline{i}+5\overline{j}+4\overline{k} a = − 2 i + 5 j + 4 k dan vektor b ‾ = 4 i ‾ + 5 j ‾ + 7 k ‾ \overline{b}=4\overline{i}+5\overline{j}+7\overline{k} b = 4 i + 5 j + 7 k . Panjang proyeksi vektor a ‾ \overline{a}\ a pada vektor b ‾ \overline{b} b sama dengan ...

3 2 10 \frac{\text{3}}{\text{2}}\sqrt{10} 2 3 1 0 <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 3 10 \frac{\text{2}}{\text{3}}\sqrt{10} 3 2 1 0 <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">

10 \text{}\sqrt{10} 1 0 <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 10 2\sqrt{10} 2 1 0 <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 10 3\sqrt{10} 3 1 0 <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">

LATIHAN SOAL VEKTOR 3 DIMENSI

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSN.VM.A.2

Standards-aligned

Mardiana EP

Used 5+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$Tentukan\ vektor\ basis\ (OA)⃗!$

$(2,5,3)$

$(2,-5,3)$

$(2,-5,-3)$

$(-2,-5,3)$

$(-2,-5,-3)$

│a│ = 4; │b│ = 5 dan sudut yang dibentuk vector a dan b sama dengan 60⁰ maka a.b =…

6

8

10

18

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jika a = 3i - 4j + 5k dan b = 2i + 3j - 2k maka a.b =

-16

-14

8

18

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika a = -i + j dan b = i - 2j + 2k, maka besar sudut yang dibentuk vektor a dan b sama dengan.....

45⁰

60⁰

120⁰

135⁰

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diketahui $\overrightarrow{a}\ =3i+2j-2k$ dan $\overrightarrow{b}\ =\ -2i+3j+k$ maka $3\overrightarrow{a}\ -2\overrightarrow{b}=$ . . . . .

$13i+12j$

$12i+13j$

$12j-8k$

$13i-8k$

$13i-12j$

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Diketahui vektor pada R3 berikut:
a = 8 i - 4 j + 3 k
b = 3 i - 2 j
c = - i - 5 j + 7 k

Hasil dari 2a - b + 3c adalah ...

13 i + 4 j + 29 k

13 i - 26 j + 29 k

13 i + 26 j + 25 k

10 i + 9 j + 27 k

10 i -21 j + 27 k

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Diketahui vector a = 4i 2j + 2k dan vector b = 2i – 6j + 4k. Proyeksi vector orthogonal vector a pada vector b adalah

i - j + k

i - 3j + 2k

i - 4j + 4k

2i - j + k

6i - 8j + 6k

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LATIHAN SOAL VEKTOR 3 DIMENSI

15 questions

$Tentukan\ vektor\ basis\ (OA)⃗!$

│a│ = 4; │b│ = 5 dan sudut yang dibentuk vector a dan b sama dengan 60⁰ maka a.b =…

Jika a = 3i - 4j + 5k dan b = 2i + 3j - 2k maka a.b =

Jika a = -i + j dan b = i - 2j + 2k, maka besar sudut yang dibentuk vektor a dan b sama dengan.....

Diketahui $\overrightarrow{a}\ =3i+2j-2k$ dan $\overrightarrow{b}\ =\ -2i+3j+k$ maka $3\overrightarrow{a}\ -2\overrightarrow{b}=$ . . . . .

Diketahui vektor pada R3 berikut:
a = 8 i - 4 j + 3 k
b = 3 i - 2 j
c = - i - 5 j + 7 k

Hasil dari 2a - b + 3c adalah ...

Diketahui vector a = 4i 2j + 2k dan vector b = 2i – 6j + 4k. Proyeksi vector orthogonal vector a pada vector b adalah

Vektor linear dari P (-1, -2, -4) adalah ...

Jika $P\left(0,2,0\right)$ dan $\overrightarrow{QP}=2\overrightarrow{i}+\overrightarrow{k}$ , maka koordinat titik Q adalah ...

Jika A(2, 5, - 1) dan B(7, 5, 11) maka panjang AB = ...

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Popular Resources on Wayground

Discover more resources for Mathematics

LATIHAN SOAL VEKTOR 3 DIMENSI

15 questions

Tentukan vektor basis (OA)⃗!Tentukan\ vektor\ basis\ (OA)⃗!Tentukan vektor basis (OA)⃗!

│a│ = 4; │b│ = 5 dan sudut yang dibentuk vector a dan b sama dengan 60⁰ maka a.b =…

Jika a = 3i - 4j + 5k dan b = 2i + 3j - 2k maka a.b =

Jika a = -i + j dan b = i - 2j + 2k, maka besar sudut yang dibentuk vektor a dan b sama dengan.....

Diketahui a→ =3i+2j−2k\overrightarrow{a}\ =3i+2j-2ka =3i+2j−2k dan b→ = −2i+3j+k\overrightarrow{b}\ =\ -2i+3j+kb = −2i+3j+k maka 3a→ −2b→=3\overrightarrow{a}\ -2\overrightarrow{b}=3a −2b= . . . . .

Diketahui vektor pada R3 berikut: a = 8 i - 4 j + 3 kb = 3 i - 2 jc = - i - 5 j + 7 kHasil dari 2a - b + 3c adalah ...

Diketahui vector a = 4i 2j + 2k dan vector b = 2i – 6j + 4k. Proyeksi vector orthogonal vector a pada vector b adalah

Vektor linear dari P (-1, -2, -4) adalah ...

Jika P(0,2,0)P\left(0,2,0\right)P(0,2,0) dan QP→=2i→+k→\overrightarrow{QP}=2\overrightarrow{i}+\overrightarrow{k}QP​=2i+k , maka koordinat titik Q adalah ...

Jika A(2, 5, - 1) dan B(7, 5, 11) maka panjang AB = ...

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Popular Resources on Wayground

Discover more resources for Mathematics

$Tentukan\ vektor\ basis\ (OA)⃗!$

Diketahui $\overrightarrow{a}\ =3i+2j-2k$ dan $\overrightarrow{b}\ =\ -2i+3j+k$ maka $3\overrightarrow{a}\ -2\overrightarrow{b}=$ . . . . .

Diketahui vektor pada R3 berikut:
a = 8 i - 4 j + 3 k
b = 3 i - 2 j
c = - i - 5 j + 7 k

Hasil dari 2a - b + 3c adalah ...

Jika $P\left(0,2,0\right)$ dan $\overrightarrow{QP}=2\overrightarrow{i}+\overrightarrow{k}$ , maka koordinat titik Q adalah ...