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 )

Diketahui titik A(8, -3) dan titik B(2, 3) titik P membagi ruas garis AB dengan perbandingan 2 : 1, koordinat titik P adalah ….

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

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

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

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

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

Jika p = 5 i − 4 j + 3 k p=5i-4j+3k p = 5 i − 4 j + 3 k , q = 2 i + 7 k q=2i+7k q = 2 i + 7 k , r = 6 j − 2 k r=6j-2k r = 6 j − 2 k Nilai dari p ⋅ ( q + r ) p\cdot\left(q+r\right) p ⋅ ( q + r )

D. − 38 i − 19 j + 38 k -38i-19j+38k − 3 8 i − 1 9 j + 3 8 k

A. − 38 i − 19 j − 38 k -38i-19j-38k − 3 8 i − 1 9 j − 3 8 k

B. 19 i − 39 j + 38 k 19i-39j+38k 1 9 i − 3 9 j + 3 8 k

D. 38 i + 19 j + 38 k 38i+19j+38k 3 8 i + 1 9 j + 3 8 k

E. 38 i − 39 j + 19 k 38i-39j+19k 3 8 i − 3 9 j + 1 9 k

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 ⃗ + c ⃗ ! c⃗=5i-2j-k\ Tentukan\ a⃗-b⃗+c⃗! c ⃗ = 5 i − 2 j − k T e n t u k a n a ⃗ − b ⃗ + c ⃗ !

( 8 , 0 , − 4 ) \left(8,0,-4\right) ( 8 , 0 , − 4 )

( − 8 , 0 , − 4 ) \left(-8,0,-4\right) ( − 8 , 0 , − 4 )

( 6 , 0 , − 4 ) \left(6,0,-4\right) ( 6 , 0 , − 4 )

( − 6 , 0 , − 4 ) \left(-6,0,-4\right) ( − 6 , 0 , − 4 )

( 6 , 0 , 4 ) \left(6,0,4\right) ( 6 , 0 , 4 )

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">

Diketahui vektor a ‾ = i ‾ + 2 j ‾ + x k ‾ \overline{a}=\overline{i}+2\overline{j}+x\overline{k} a = i + 2 j + x k dan vektor b ‾ = 2 i ‾ + j ‾ − k ‾ \overline{b}=2\overline{i}+\overline{j}-\overline{k} b = 2 i + j − k serta panjang proyeksi vektor a ‾ \overline{a}\ a pada vektor b ‾ \overline{b} b adalah 1 3 6 \frac{1}{3}\sqrt{6} 3 1 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"> . Sudut antara vektor \overline{a}\ a dan vektor \overline{b} b adalah α \alpha α , maka cos ⁡ α \cos\ \alpha cos α =...

1 9 6 \frac{1}{9}\sqrt{6} 9 1 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">

1 6 6 \frac{\text{1}}{\text{6}}\sqrt{6} 6 1 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 6 6 \frac{\text{3}}{\text{6}}\sqrt{6} 6 3 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">

2 9 6 \frac{2}{9}\sqrt{6} 9 2 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">

1 3 6 \frac{1}{3}\sqrt{6} 3 1 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">

Diketahui vektor a ‾ = 4 i ‾ − 2 j ‾ + 2 k ‾ \overline{a}=4\overline{i}-2\overline{j}+2\overline{k} a = 4 i − 2 j + 2 k dan vektor b ‾ = 2 i ‾ − 6 j ‾ + 4 k ‾ \overline{b}=2\overline{i}-6\overline{j}+4\overline{k} b = 2 i − 6 j + 4 k . Proyeksi vektor ortogonal vektor a ‾ \overline{a} a pada vektor b ‾ \overline{b} b adalah...

i ‾ − 3 j ‾ + 2 k ‾ \overline{i}-3\overline{j}+2\overline{k} i − 3 j + 2 k

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

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

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

6 i ‾ − 8 j ‾ + 6 k ‾ 6\overline{i}-8\overline{j}+6\overline{k} 6 i − 8 j + 6 k

Panjang proyeksi vektor a ‾ = 2 i ‾ + y j ‾ + k ‾ \overline{a}=2\overline{i}+y\overline{j}+\overline{k} a = 2 i + y j + k pada b ‾ = 2 i ‾ + 2 j ‾ + k ‾ \overline{b}=2\overline{i}+2\overline{j}+\overline{k} b = 2 i + 2 j + k sama dengan setengah kali panjang vektor b ‾ \overline{b} b . Dengan demikian vektor proyeksi vektor b ‾ \overline{b} b pada a ‾ \overline{a} a adalah...

16 9 i ‾ − 2 9 j ‾ + 8 9 k ‾ \frac{16}{9}\overline{i}-\frac{2}{9}\overline{j}+\frac{8}{9}\overline{k} 9 1 6 i − 9 2 j + 9 8 k

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

1 2 i ‾ + 1 2 j ‾ + 1 4 k ‾ \frac{1}{2}\overline{i}+\frac{1}{2}\overline{j}+\frac{1}{4}\overline{k} 2 1 i + 2 1 j + 4 1 k

i ‾ + j ‾ + 1 2 k ‾ \overline{i}+\overline{j}+\frac{1}{2}\overline{k} i + j + 2 1 k

1 3 i ‾ + 1 3 j ‾ + 1 6 k ‾ \frac{1}{3}\overline{i}+\frac{1}{3}\overline{j}+\frac{1}{6}\overline{k} 3 1 i + 3 1 j + 6 1 k

Diketahui u → = ( 3 − 5 ) \overrightarrow{u}=\left(3\ \ \ \ \ \ \ -5\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"> = ( 3 − 5 ) dan v → = ( 4 1 ) \overrightarrow{v}=\left(4\ \ \ \ \ \ \ \ \ 1\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"> = ( 4 1 ) . Proyeksi vektor ortogonal ( 2 u → + v → ) \left(2\overrightarrow{u}+\overrightarrow{v}\right) ( 2 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"> ) pada ( u → − 2 v → ) \left(\overrightarrow{u}-2\overrightarrow{v}\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"> − 2 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 ...

− 13 74 ( 5 7 ) -\frac{13}{74}\left(5\ \ \ \ \ \ \ \ 7\right) − 7 4 1 3 ( 5 7 )

13 74 ( 5 7 ) \frac{13}{74}\left(5\ \ \ \ \ \ \ 7\right) 7 4 1 3 ( 5 7 )

13 74 ( − 5 7 ) \frac{13}{74}\left(-5\ \ \ \ \ \ \ 7\right) 7 4 1 3 ( − 5 7 )

13 74 ( − 5 7 ) \frac{13}{\sqrt{74}}\left(-5\ \ \ \ \ \ \ 7\right) 7 4 <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 3 ( − 5 7 )

− 13 74 ( − 5 7 ) -\frac{13}{\sqrt{74}}\left(-5\ \ \ \ \ \ \ \ 7\right) − 7 4 <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 3 ( − 5 7 )

LATIHAN VEKTOR XI

11th Grade

•

25 Qs

Similar activities

Números inteiros

7th Grade - University

•

20 Qs

เรขาคณิตวิเคราะห์

7th - 12th Grade

•

20 Qs

Quiz 10% Razonamiento Cuantitativo

University

•

20 Qs

Geometri Transformasi

11th Grade

•

20 Qs

Tích cực đa diện

12th Grade

•

20 Qs

Basic Math (M32102)

10th - 11th Grade

•

20 Qs

UJI KOMPETENSI AWAL

12th Grade

•

20 Qs

G12_Math+for+Bus+Eco_Term+Exam_Mock+Test

12th Grade

•

20 Qs

LATIHAN VEKTOR XI

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

Riza Asfa

FREE Resource

25 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

panjang vektor $\overrightarrow{a\ }=-10i+24j$ adalah……

MULTIPLE CHOICE QUESTION

2 mins • 12 pts

$Diketahui\ a⃗=2i+5j+4k$
$b⃗=-i+3j+7k\ dan$
$c⃗=5i-2j-k\ Tentukan\ a⃗+b⃗!$

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

$\left(3,-8,11\right)$

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

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

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$Diketahui\ a⃗=i+2j+2k,$ $b⃗=-3i-j-2k.\ Tentukan\ a⃗.b⃗!$

$-9$

$9$

$1$

$-1$

$-6$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Jika vektor a = 12 i + 5 k .

Maka panjang vektor a adalah ...

|a| = 11

|a| = 13

|a| = 15

|a| = 17

|a| = 19

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A = 5i + 7j , B = -6i + 2j maka
B - A = ...

-i + 9j

11i + 5j

-11i + 9j

5i + 11j

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

misal suatu vektor secara komponen ditulis seperti gambar diatas, maka penulisan dalam bentuk analitis adalah...

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Diketahui\ a⃗=i+2j+k,$
$b⃗=i-2j-k.\ Tentukan\ a⃗.b⃗!$

$-6$

$-4$

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Persamaan dan Pertidaksamaan Linear

Quiz

•

9th - 12th Grade

20 questions

Quadratics STAAR Questions

Quiz

•

9th - 12th Grade

20 questions

EXAMEN CEPRUNSA FASE 1 2021

Quiz

•

5th Grade - University

20 questions

ulangan harian

Quiz

•

9th - 12th Grade

22 questions

Interior and Exterior Angles of a Polygon

Quiz

•

9th - 11th Grade

20 questions

UAS GANJIL MATEMATIKA XII

Quiz

•

1st Grade - University

20 questions

NATURALESA DEL FOC

Quiz

•

University

20 questions

Logarithm Laws

Quiz

•

10th - 12th Grade

Popular Resources on Wayground

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

Discover more resources for Mathematics

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

14 questions

Model and Solve Linear Equations

Quiz

•

9th - 12th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade

27 questions

Parallelograms, Rectangles, Rhombi, and Squares!

Quiz

•

10th - 12th Grade

19 questions

Function Vs Relation

Quiz

•

8th - 12th Grade

12 questions

Combine Like Terms

Quiz

•

6th - 12th Grade

30 questions

Simplify and Factor Algebraic Expressions

Quiz

•

7th - 12th Grade

20 questions

Properties of Logs

Quiz

•

11th Grade

LATIHAN VEKTOR XI

25 questions

panjang vektor $\overrightarrow{a\ }=-10i+24j$ adalah……

$Diketahui\ a⃗=2i+5j+4k$
$b⃗=-i+3j+7k\ dan$
$c⃗=5i-2j-k\ Tentukan\ a⃗+b⃗!$

$Diketahui\ a⃗=i+2j+2k,$ $b⃗=-3i-j-2k.\ Tentukan\ a⃗.b⃗!$

Jika vektor a = 12 i + 5 k .

Maka panjang vektor a adalah ...

A = 5i + 7j , B = -6i + 2j maka
B - A = ...

misal suatu vektor secara komponen ditulis seperti gambar diatas, maka penulisan dalam bentuk analitis adalah...

$Diketahui\ a⃗=i+2j+k,$
$b⃗=i-2j-k.\ Tentukan\ a⃗.b⃗!$

Diketahui titik A(8, -3) dan titik B(2, 3) titik P membagi ruas garis AB dengan perbandingan 2 : 1, koordinat titik P adalah ….

Diketahui vektor p = 3i + 4j + mk dan vektor q = 2i - 3j + 5k . Jika perkalian vektor p.q = 4, maka nilai m adalah ...

Jika $p=5i-4j+3k$ , $q=2i+7k$ , $r=6j-2k$
Nilai dari $p\cdot\left(q+r\right)$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

LATIHAN VEKTOR XI

25 questions

panjang vektor a →=−10i+24j\overrightarrow{a\ }=-10i+24ja =−10i+24j adalah……

Diketahui a⃗=2i+5j+4kDiketahui\ a⃗=2i+5j+4kDiketahui a⃗=2i+5j+4k b⃗=−i+3j+7k danb⃗=-i+3j+7k\ danb⃗=−i+3j+7k dan c⃗=5i−2j−k Tentukan a⃗+b⃗!c⃗=5i-2j-k\ Tentukan\ a⃗+b⃗!c⃗=5i−2j−k Tentukan a⃗+b⃗!

Diketahui a⃗=i+2j+2k,Diketahui\ a⃗=i+2j+2k,Diketahui a⃗=i+2j+2k, b⃗=−3i−j−2k. Tentukan a⃗.b⃗!b⃗=-3i-j-2k.\ Tentukan\ a⃗.b⃗!b⃗=−3i−j−2k. Tentukan a⃗.b⃗!

Jika vektor a = 12 i + 5 k . ﻿Maka panjang vektor a adalah ...

A = 5i + 7j , B = -6i + 2j maka B - A = ...

misal suatu vektor secara komponen ditulis seperti gambar diatas, maka penulisan dalam bentuk analitis adalah...

Diketahui a⃗=i+2j+k,Diketahui\ a⃗=i+2j+k,Diketahui a⃗=i+2j+k, b⃗=i−2j−k. Tentukan a⃗.b⃗!b⃗=i-2j-k.\ Tentukan\ a⃗.b⃗!b⃗=i−2j−k. Tentukan a⃗.b⃗!

Diketahui titik A(8, -3) dan titik B(2, 3) titik P membagi ruas garis AB dengan perbandingan 2 : 1, koordinat titik P adalah ….

Diketahui vektor p = 3i + 4j + mk dan vektor q = 2i - 3j + 5k . Jika perkalian vektor p.q = 4, maka nilai m adalah ...

Jika p=5i−4j+3kp=5i-4j+3kp=5i−4j+3k , q=2i+7kq=2i+7kq=2i+7k , r=6j−2kr=6j-2kr=6j−2k Nilai dari p⋅(q+r)p\cdot\left(q+r\right)p⋅(q+r)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

panjang vektor $\overrightarrow{a\ }=-10i+24j$ adalah……

$Diketahui\ a⃗=2i+5j+4k$
$b⃗=-i+3j+7k\ dan$
$c⃗=5i-2j-k\ Tentukan\ a⃗+b⃗!$

$Diketahui\ a⃗=i+2j+2k,$ $b⃗=-3i-j-2k.\ Tentukan\ a⃗.b⃗!$

Jika vektor a = 12 i + 5 k .

Maka panjang vektor a adalah ...

A = 5i + 7j , B = -6i + 2j maka
B - A = ...

$Diketahui\ a⃗=i+2j+k,$
$b⃗=i-2j-k.\ Tentukan\ a⃗.b⃗!$

Jika $p=5i-4j+3k$ , $q=2i+7k$ , $r=6j-2k$
Nilai dari $p\cdot\left(q+r\right)$