D i k e t a h u i r ‾ = − 3 j d a n s ‾ = 4 i − j Diketahui\ \overline{r}=-3j\ dan\ \overline{s}=4i-j D i k e t a h u i r = − 3 j d a n s = 4 i − j p r o y e k s i s k a l a r r ‾ p a d a s ‾ a d a l a h . . . . . proyeksi\ skalar\ \overline{r}\ pada\ \overline{s}\ adalah\ ..... p r o y e k s i s k a l a r r p a d a s a d a l a h . . . . .

3 17 17 \frac{3}{17}\sqrt{17} 1 7 3 1 7 <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 5 5 \frac{3}{5}\sqrt{5} 5 3 5 <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 10 \frac{3}{10}\sqrt{10} 1 0 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">

D i k e t a h u i a ‾ = ( 8 4 ) d a n b ‾ = ( 4 − 3 ) Diketahui\ \overline{a}=\left(8\ \ \ \ 4\right)\ dan\ \overline{b}=\ \left(4\ \ \ \ -3\right) D i k e t a h u i a = ( 8 4 ) d a n b = ( 4 − 3 ) P a n j a n g p r o y e k s i v e k t o r a ‾ p a d a b ‾ a d a l a h . . . . . Panjang\ proyeksi\ vektor\ \overline{a}\ pada\ \overline{b}\ adalah\ ..... P a n j a n g p r o y e k s i v e k t o r a p a d a b a d a l a h . . . . .

5 \sqrt{5} 5 <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 \sqrt{4} 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">

P a n j a n g p r o y e k s i v e k t o r a ‾ = 3 i + 4 j − k p a d a Panjang\ proyeksi\ vektor\ \overline{a}=3i+4j-k\ pada P a n j a n g p r o y e k s i v e k t o r a = 3 i + 4 j − k p a d a v e k t o r b ‾ = i − 2 j + k a d a l a h . . . . . vektor\ \overline{b}\ =i-2j+k\ adalah\ ..... v e k t o r b = i − 2 j + k a d a l a h . . . . .

6 \sqrt{6} 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">

6 5 \frac{6}{\sqrt{5}} 5 <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"> 6

1 6 \frac{1}{\sqrt{6}} 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

5 \sqrt{5} 5 <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">

D i k e t a h u i 3 t i t i k A ( 4 − 1 2 ) , B ( 4 3 − 2 ) Diketahui\ 3\ titik\ A\left(4\ \ \ -1\ \ \ 2\right),\ B\left(4\ \ \ 3\ \ \ -2\right) D i k e t a h u i 3 t i t i k A ( 4 − 1 2 ) , B ( 4 3 − 2 ) d a n C ( 1 3 2 ) . P a n j a n g p r o y e k s i v e k t o r A B p a d a B C a d a l a h . . . . . dan\ C\left(1\ \ \ 3\ \ \ 2\right).\ Panjang\ proyeksi\ vektor\ AB\ pada\ BC\ adalah\ ..... d a n C ( 1 3 2 ) . P a n j a n g p r o y e k s i v e k t o r A B p a d a B C a d a l a h . . . . .

− 16 5 -\frac{16}{5} − 5 1 6

16 5 \frac{16}{\sqrt{5}} 5 <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

p r o y e k s i o r t h o g o n a l p ‾ = ( 4 − 5 3 ) p a d a q ‾ = ( 1 − 1 2 ) proyeksi\ orthogonal\ \overline{p}=\left(4\ \ \ -5\ \ \ 3\right)\ pada\ \overline{q}=\left(1\ \ \ -1\ \ \ 2\right) p r o y e k s i o r t h o g o n a l p = ( 4 − 5 3 ) p a d a q = ( 1 − 1 2 ) a d a l a h r ‾ . . . . . adalah\ \overline{r}\ ..... a d a l a h r . . . . .

5 2 i − 5 2 j + 5 k \frac{5}{2}i-\frac{5}{2}j+5k 2 5 i − 2 5 j + 5 k

5 2 i + 5 2 j + 5 k \frac{5}{2}i+\frac{5}{2}j+5k 2 5 i + 2 5 j + 5 k

5 2 i − 5 2 j − 5 k \frac{5}{2}i-\frac{5}{2}j-5k 2 5 i − 2 5 j − 5 k

5 2 i + 5 2 j − 5 k \frac{5}{2}i+\frac{5}{2}j-5k 2 5 i + 2 5 j − 5 k

5 i + 5 j + 5 k 5i+5j+5k 5 i + 5 j + 5 k

D i k e t a h u i t i t i k P ( − 1 , 3 , 4 ) , Q ( 2 , 2 , 0 ) , R ( 2 , − 3 , 6 ) Diketahui\ titik\ P\left(-1,\ 3,\ 4\right),\ Q\left(2,\ 2,\ 0\right),\ R\left(2,\ -3,\ 6\right) D i k e t a h u i t i t i k P ( − 1 , 3 , 4 ) , Q ( 2 , 2 , 0 ) , R ( 2 , − 3 , 6 ) M a k a p r o y e k s i P Q → p a d a P R → a d a l a h . . . . . Maka\ proyeksi\ \overrightarrow{PQ}\ pada\ \overrightarrow{PR}\ adalah\ ..... M a k a p r o y e k s i P Q <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"> p a d a P R <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 d a l a h . . . . .

1 7 ( 3 i − 6 j + 2 k ) \frac{1}{7}\left(3i-6j+2k\right) 7 1 ( 3 i − 6 j + 2 k )

23 49 ( 3 i − 6 i + 2 k ) \frac{23}{49}\left(3i-6i+2k\right) 4 9 2 3 ( 3 i − 6 i + 2 k )

11 49 ( 3 i − 6 j + 2 k ) \frac{11}{49}\left(3i-6j+2k\right) 4 9 1 1 ( 3 i − 6 j + 2 k )

1 7 ( 3 i − 6 j − 2 k ) \frac{1}{7}\left(3i-6j-2k\right) 7 1 ( 3 i − 6 j − 2 k )

1 7 ( 3 i + 6 j + 2 k ) \frac{1}{7}\left(3i+6j+2k\right) 7 1 ( 3 i + 6 j + 2 k )

D i k e t a h u i Δ A B C d e n g a n A ( 1 , 1 , 2 ) , B ( 4 , 2 , − 3 ) Diketahui\ \Delta ABC\ dengan\ A\left(1,\ 1,\ 2\right),\ B\left(4,\ 2,\ -3\right) D i k e t a h u i Δ A B C d e n g a n A ( 1 , 1 , 2 ) , B ( 4 , 2 , − 3 ) d a n C ( 0 , 3 , 0 ) . p r o y e k s i v e k t o r o r t h o g o n a l d a r i dan\ C\left(0,\ 3,\ 0\right).\ proyeksi\ vektor\ orthogonal\ dari\ d a n C ( 0 , 3 , 0 ) . p r o y e k s i v e k t o r o r t h o g o n a l d a r i A B → p a d a A C → a d a l a h . . . \overrightarrow{AB}\ pada\ \overrightarrow{AC}\ adalah\ ... 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"> p a d a A 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"> a d a l a h . . .

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

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

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

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

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

D i k e t a h u i v e k t o r a ‾ = 3 i + j + 3 k , b ‾ = 5 i + 4 j + 2 k Diketahui\ vektor\ \overline{a}=3i+j+3k,\ \overline{b}=5i+4j+2k D i k e t a h u i v e k t o r a = 3 i + j + 3 k , b = 5 i + 4 j + 2 k J i k a c ‾ a d a l a h p r o y e k s i v e k t o r a ‾ p a d a b ‾ , m a k a c ‾ = . . . . . Jika\ \overline{c}\ adalah\ proyeksi\ vektor\ \overline{a}\ pada\ \overline{b},\ maka\ \overline{c}=..... J i k a c a d a l a h p r o y e k s i v e k t o r a p a d a b , m a k a c = . . . . .

5 9 ( 5 i + 4 j + 2 k ) \frac{5}{9}\left(5i+4j+2k\right) 9 5 ( 5 i + 4 j + 2 k )

5 45 ( 5 i + 4 j + 2 k ) \frac{5}{45}\left(5i+4j+2k\right) 4 5 5 ( 5 i + 4 j + 2 k )

5 45 ( 3 i + j + 3 k ) \frac{5}{45}\left(3i+j+3k\right) 4 5 5 ( 3 i + j + 3 k )

5 9 ( 3 i + j + 3 k ) \frac{5}{9}\left(3i+j+3k\right) 9 5 ( 3 i + j + 3 k )

25 49 ( 5 i + 4 j + 2 k ) \frac{25}{49}\left(5i+4j+2k\right) 4 9 2 5 ( 5 i + 4 j + 2 k )

UH Proyeksi Orthogonal Vektor

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

Eva Indrawati

Used 18+ times

FREE Resource

15 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$Diketahui\ \overrightarrow{u\ }=\left(6\ \ \ 0\right)\ dan\ \overrightarrow{v\ }=\ \left(-\ 3\ \ \ \ 5\right).\$
$\Pr oyeksi\ skalar\ orthogonal\ \overrightarrow{v\ }pada\ \overrightarrow{u}\ adalah\ ....$

- 3

- 2

- 1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Diketahui\ vektor\ \overline{a}=-3i+4j+ck,\ \overline{b}=2i+3j-6k$ $Jika\ panjang\ proyeksi\ vektor\ \overline{a}\ pada\ \overline{b}\ adalah\ 6,\$ maka nilai c adalah .....

- 8 dan 6

- 8 dan - 6

- 6 dan 8

6 dan 8

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$Diketahui\ \overline{r}=-3j\ dan\ \overline{s}=4i-j$
$proyeksi\ skalar\ \overline{r}\ pada\ \overline{s}\ adalah\ .....$

$3$

$\frac{3}{5}\sqrt{5}$

$\frac{3}{10}\sqrt{10}$

$\frac{3}{17}\sqrt{17}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Diketahui\ \overline{a}=\left(8\ \ \ \ 4\right)\ dan\ \overline{b}=\ \left(4\ \ \ \ -3\right)$
$Panjang\ proyeksi\ vektor\ \overline{a}\ pada\ \overline{b}\ adalah\ .....$

$\sqrt{5}$

$\sqrt{4}$

$1$

$4$

$5$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$Panjang\ proyeksi\ vektor\ \overline{a}=3i+4j-k\ pada$
$vektor\ \overline{b}\ =i-2j+k\ adalah\ .....$

$\frac{6}{\sqrt{5}}$

$\frac{1}{\sqrt{6}}$

$\sqrt{5}$

$\sqrt{6}$

$1$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Diketahui\ vektor\ \overline{a\ }=\left(3\ \ \ 2\ \ \ 4\right),\ \overline{b}=\left(0\ \ \ 3\ \ \ 4\right)$
$proyeksi\ skalar\ \overline{a}\ pada\ \overline{b}\ adalah\ .....$

- 2

- 1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Diketahui\ 3\ titik\ A\left(4\ \ \ -1\ \ \ 2\right),\ B\left(4\ \ \ 3\ \ \ -2\right)$
$dan\ C\left(1\ \ \ 3\ \ \ 2\right).\ Panjang\ proyeksi\ vektor\ AB\ pada\ BC\ adalah\ .....$

$\frac{4}{5}$

$-\frac{4}{5}$

$\frac{16}{5}$

$-\frac{16}{5}$

$\frac{16}{\sqrt{5}}$

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UH Proyeksi Orthogonal Vektor

15 questions

$Diketahui\ \overrightarrow{u\ }=\left(6\ \ \ 0\right)\ dan\ \overrightarrow{v\ }=\ \left(-\ 3\ \ \ \ 5\right).\$
$\Pr oyeksi\ skalar\ orthogonal\ \overrightarrow{v\ }pada\ \overrightarrow{u}\ adalah\ ....$

$Diketahui\ vektor\ \overline{a}=-3i+4j+ck,\ \overline{b}=2i+3j-6k$ $Jika\ panjang\ proyeksi\ vektor\ \overline{a}\ pada\ \overline{b}\ adalah\ 6,\$ maka nilai c adalah .....

$Diketahui\ \overline{r}=-3j\ dan\ \overline{s}=4i-j$
$proyeksi\ skalar\ \overline{r}\ pada\ \overline{s}\ adalah\ .....$

$Diketahui\ \overline{a}=\left(8\ \ \ \ 4\right)\ dan\ \overline{b}=\ \left(4\ \ \ \ -3\right)$
$Panjang\ proyeksi\ vektor\ \overline{a}\ pada\ \overline{b}\ adalah\ .....$

$Panjang\ proyeksi\ vektor\ \overline{a}=3i+4j-k\ pada$
$vektor\ \overline{b}\ =i-2j+k\ adalah\ .....$

$Diketahui\ vektor\ \overline{a\ }=\left(3\ \ \ 2\ \ \ 4\right),\ \overline{b}=\left(0\ \ \ 3\ \ \ 4\right)$
$proyeksi\ skalar\ \overline{a}\ pada\ \overline{b}\ adalah\ .....$

$Diketahui\ 3\ titik\ A\left(4\ \ \ -1\ \ \ 2\right),\ B\left(4\ \ \ 3\ \ \ -2\right)$
$dan\ C\left(1\ \ \ 3\ \ \ 2\right).\ Panjang\ proyeksi\ vektor\ AB\ pada\ BC\ adalah\ .....$

$Panjang\ proyeksi\ orthogonal\ vektor\ \overline{a\ }=\left(p\ \ \ 2\ \ \ 4\right)$ $pada\ \overline{b}=\left(2\ \ \ p\ \ \ 1\right)\ adalah\ 4.\ Nilai\ p\ =\ .....$

$proyeksi\ orthogonal\ \overline{p}=\left(4\ \ \ -5\ \ \ 3\right)\ pada\ \overline{q}=\left(1\ \ \ -1\ \ \ 2\right)$ $adalah\ \overline{r}\ .....$

$Diketahui\ vektor\ \overline{a}=i+2j-2k\ dan\ \overline{b}=-3i-j+pk$ $Jika\ proyeksi\ skalar\ vektor\ \overline{b}\ pada\ \overline{a}\ adalah\ \frac{5}{3},$
maka nilai p = .....

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UH Proyeksi Orthogonal Vektor

15 questions

Diketahui r‾=−3j dan s‾=4i−jDiketahui\ \overline{r}=-3j\ dan\ \overline{s}=4i-jDiketahui r=−3j dan s=4i−j proyeksi skalar r‾ pada s‾ adalah .....proyeksi\ skalar\ \overline{r}\ pada\ \overline{s}\ adalah\ .....proyeksi skalar r pada s adalah .....

Panjang proyeksi vektor a‾=3i+4j−k padaPanjang\ proyeksi\ vektor\ \overline{a}=3i+4j-k\ padaPanjang proyeksi vektor a=3i+4j−k pada vektor b‾ =i−2j+k adalah .....vektor\ \overline{b}\ =i-2j+k\ adalah\ .....vektor b =i−2j+k adalah .....

proyeksi orthogonal p‾=(4 −5 3) pada q‾=(1 −1 2)proyeksi\ orthogonal\ \overline{p}=\left(4\ \ \ -5\ \ \ 3\right)\ pada\ \overline{q}=\left(1\ \ \ -1\ \ \ 2\right)proyeksi orthogonal p​=(4 −5 3) pada q​=(1 −1 2) adalah r‾ .....adalah\ \overline{r}\ .....adalah r .....

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$Diketahui\ \overline{r}=-3j\ dan\ \overline{s}=4i-j$
$proyeksi\ skalar\ \overline{r}\ pada\ \overline{s}\ adalah\ .....$

$Panjang\ proyeksi\ vektor\ \overline{a}=3i+4j-k\ pada$
$vektor\ \overline{b}\ =i-2j+k\ adalah\ .....$

$proyeksi\ orthogonal\ \overline{p}=\left(4\ \ \ -5\ \ \ 3\right)\ pada\ \overline{q}=\left(1\ \ \ -1\ \ \ 2\right)$ $adalah\ \overline{r}\ .....$