Jika A ( 2, 4, 1) dan B (6, -1, 4) maka vector 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"> adalah …

4 i − 5 j + 3 k 4i-5j+3k 4 i − 5 j + 3 k

2 i − 5 j + 3 k 2i-5j+3k 2 i − 5 j + 3 k

3 i − 2 j + 5 k 3i-2j+5k 3 i − 2 j + 5 k

4 i + 5 j + 3 k 4i+5j+3k 4 i + 5 j + 3 k

4 i − 6 j + 3 k 4i-6j+3k 4 i − 6 j + 3 k

panjang vektor p ‾ = 5 i − j + 4 k \overline{p}=5i-j+4k p = 5 i − j + 4 k adalah

42 \sqrt{42} 4 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">

41 \sqrt{41} 4 1 <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">

43 \sqrt{43} 4 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">

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">

51 \sqrt{51} 5 1 <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 ‾ = − 6 i − 8 j \overline{a}=-6i-8j a = − 6 i − 8 j Vector satuan tersebut adalah …

1 / 10 ( − 6 i − 8 j ) 1/10(-6i-8j) 1 / 1 0 ( − 6 i − 8 j )

− 1 / 10 ( − 6 i − 8 j ) -1/10(-6i-8j) − 1 / 1 0 ( − 6 i − 8 j )

1 / 5 ( − 6 i − 8 j ) 1/5(-6i-8j) 1 / 5 ( − 6 i − 8 j )

− 1 / 5 ( − 6 i − 8 j ) -1/5(-6i-8j) − 1 / 5 ( − 6 i − 8 j )

1 / 7 ( − 6 i − 8 j ) 1/7(-6i-8j) 1 / 7 ( − 6 i − 8 j )

diketahui u ⃗ = 2 i + j − 2 k u⃗=2i+j-2k u ⃗ = 2 i + j − 2 k dan v ⃗ = i + 3 j + k v⃗=i+3j+k v ⃗ = i + 3 j + k . panjang proyeksi 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"> pada 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"> adalah ...

3 11 \frac{3}{\sqrt{11}} 1 1 <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

1 11 \frac{1}{\sqrt{11}} 1 1 <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"> 1

2 11 \frac{2}{\sqrt{11}} 1 1 <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

4 11 \frac{4}{\sqrt{11}} 1 1 <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"> 4

5 11 \frac{5}{\sqrt{11}} 1 1 <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"> 5

Diketahui a → = 3 i – 2 j + 4 k \overrightarrow{a}=3i–2j+4k 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 + 4 k dan b → = 2 i – j + k \overrightarrow{b}=2i–j+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 – j + k . vektor proyeksi ortogonal a → \overrightarrow{a} 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"> pada b → \overrightarrow{b} 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"> adalah...

4 i − 2 j + 2 k 4i-2j+2k 4 i − 2 j + 2 k

1 2 ( 2 i − j + k ) \frac{1}{2}\left(2i-j+k\right) 2 1 ( 2 i − j + k )

1 2 ( 4 i − 2 j + 2 k ) \frac{1}{2}\left(4i-2j+2k\right) 2 1 ( 4 i − 2 j + 2 k )

2 i − j + k 2i-j+k 2 i − j + k

4 i + 2 j + 2 k 4i+2j+2k 4 i + 2 j + 2 k

PERTEMUAN 5 ONLINE - KUIS VEKTOR

Authored by yuyun nita

Mathematics

10th Grade - University

Used 20+ times

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10 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

vector adalah …

3i+4j

i+2j

2i+j

3i+2j

4i+3j

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Jika A ( 2, 4, 1) dan B (6, -1, 4) maka vector $\overrightarrow{AB}$ adalah …

$2i-5j+3k$

$3i-2j+5k$

$4i+5j+3k$

$4i-5j+3k$

$4i-6j+3k$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

panjang vektor $\overline{p}=5i-j+4k$ adalah

$\sqrt{41}$

$\sqrt{42}$

$\sqrt{43}$

$\sqrt{46}$

$\sqrt{51}$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\overline{a}=-6i-8j$ Vector satuan tersebut adalah …

$-1/10(-6i-8j)$

$1/5(-6i-8j)$

$1/10(-6i-8j)$

$-1/5(-6i-8j)$

$1/7(-6i-8j)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(4, 7, 13)

(-4, -7, 36)

(-4, 7, -36)

(4, 7, 20)

(-4, 10, 36)

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

diketahui $m⃗=2i+5j$ dan $n⃗=-3i+j$ maka nilai , dan $m⃗.n⃗$ adalah ...

- 11

-1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$\left|\overline{x}\right|=3,\ \left|\overline{y}\right|=\ 2,\ dan\ \theta=60\degree$ maka nilai $\overline{x}.\overline{y}$ adalah ...

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Besar sudut yang di bentuk vector $\overline{a}=2i-4j-2k$ dan $\overline{b}=-i-j-2k$ adalah...

$30\degree$

$45\degree$

$60\degree$

$90\degree$

$100\degree$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

diketahui $u⃗=2i+j-2k$ dan $v⃗=i+3j+k$ . panjang proyeksi $\overrightarrow{u}$ pada $\overrightarrow{v}$ adalah ...

$\frac{1}{\sqrt{11}}$

$\frac{2}{\sqrt{11}}$

$\frac{3}{\sqrt{11}}$

$\frac{4}{\sqrt{11}}$

$\frac{5}{\sqrt{11}}$

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Diketahui $\overrightarrow{a}=3i–2j+4k$ dan $\overrightarrow{b}=2i–j+k$ . vektor proyeksi ortogonal $\overrightarrow{a}$ pada $\overrightarrow{b}$ adalah...

$\frac{1}{2}\left(2i-j+k\right)$

$\frac{1}{2}\left(4i-2j+2k\right)$

$2i-j+k$

$4i+2j+2k$

$4i-2j+2k$

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PERTEMUAN 5 ONLINE - KUIS VEKTOR

vector adalah …

Jika A ( 2, 4, 1) dan B (6, -1, 4) maka vector AB→\overrightarrow{AB}AB adalah …

panjang vektor p‾=5i−j+4k\overline{p}=5i-j+4kp​=5i−j+4k adalah

a‾=−6i−8j\overline{a}=-6i-8ja=−6i−8j Vector satuan tersebut adalah …

diketahui m⃗=2i+5jm⃗=2i+5jm⃗=2i+5j dan n⃗=−3i+jn⃗=-3i+jn⃗=−3i+j maka nilai , dan m⃗.n⃗m⃗.n⃗m⃗.n⃗ adalah ...

∣x‾∣=3, ∣y‾∣= 2, dan θ=60°\left|\overline{x}\right|=3,\ \left|\overline{y}\right|=\ 2,\ dan\ \theta=60\degree∣x∣=3, ∣y​∣= 2, dan θ=60° maka nilai x‾.y‾\overline{x}.\overline{y}x.y​ adalah ...

Besar sudut yang di bentuk vector a‾=2i−4j−2k\overline{a}=2i-4j-2ka=2i−4j−2k dan b‾=−i−j−2k\overline{b}=-i-j-2kb=−i−j−2k adalah...

diketahui u⃗=2i+j−2ku⃗=2i+j-2ku⃗=2i+j−2k dan v⃗=i+3j+kv⃗=i+3j+kv⃗=i+3j+k . panjang proyeksi u→\overrightarrow{u}u pada v→\overrightarrow{v}v adalah ...

Diketahui a→=3i–2j+4k\overrightarrow{a}=3i–2j+4ka=3i–2j+4k dan b→=2i–j+k\overrightarrow{b}=2i–j+kb=2i–j+k . vektor proyeksi ortogonal a→\overrightarrow{a}a pada b→\overrightarrow{b}b adalah...

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Jika A ( 2, 4, 1) dan B (6, -1, 4) maka vector $\overrightarrow{AB}$ adalah …

panjang vektor $\overline{p}=5i-j+4k$ adalah

$\overline{a}=-6i-8j$ Vector satuan tersebut adalah …

diketahui $m⃗=2i+5j$ dan $n⃗=-3i+j$ maka nilai , dan $m⃗.n⃗$ adalah ...

$\left|\overline{x}\right|=3,\ \left|\overline{y}\right|=\ 2,\ dan\ \theta=60\degree$ maka nilai $\overline{x}.\overline{y}$ adalah ...

Besar sudut yang di bentuk vector $\overline{a}=2i-4j-2k$ dan $\overline{b}=-i-j-2k$ adalah...

diketahui $u⃗=2i+j-2k$ dan $v⃗=i+3j+k$ . panjang proyeksi $\overrightarrow{u}$ pada $\overrightarrow{v}$ adalah ...

Diketahui $\overrightarrow{a}=3i–2j+4k$ dan $\overrightarrow{b}=2i–j+k$ . vektor proyeksi ortogonal $\overrightarrow{a}$ pada $\overrightarrow{b}$ adalah...