a → = 3 i + j + k \overrightarrow{\ a}=3i+j+k 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 + j + k dan b → = 2 i + 5 j + k \overrightarrow{\ b}=2i+5j+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 + 5 j + k . Proyeksi skalar ortogonal a pada b adalah ...

12 30 \frac{12}{\sqrt{30}} 3 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"> 1 2

12 16 \frac{12}{\sqrt{16}} 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 2

12 11 \frac{12}{\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

a → = 3 i + j + k \overrightarrow{\ a}=3i+j+k 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 + j + k dan b → = 2 i + 5 j + k \overrightarrow{\ b}=2i+5j+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 + 5 j + k . Proyeksi vektor ortogonal a pada b adalah

12 30 ( 2 i + 5 j + k ) \frac{12}{30}\left(2i+5j+k\right)\ 3 0 1 2 ( 2 i + 5 j + k )

12 16 ( 2 i + 5 j + k ) \frac{12}{16}\left(2i+5j+k\right)\ 1 6 1 2 ( 2 i + 5 j + k )

12 11 ( 2 i + 5 j + k ) \frac{12}{11}\left(2i+5j+k\right)\ 1 1 1 2 ( 2 i + 5 j + k )

12 30 ( 3 i + j + k ) \frac{12}{30}\left(3i+j+k\right)\ 3 0 1 2 ( 3 i + j + k )

12 11 ( 3 i + j + k ) \frac{12}{11}\left(3i+j+k\right)\ 1 1 1 2 ( 3 i + j + k )

PROYEKSI VEKTOR 6 Kuis

23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diketahui u=4i-3j+k dan v=2i-2j+k. Tentukan panjang proyeksi ortogonal u pada v !

3

4

5

6

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$Diketahui\ u⃗=2i+j-2k\ dan$
$v⃗=i+3j+k.Tentukan\ panjang\$
$proyeksi\ orthogonal\ u⃗\ pada\ v⃗.$

$1/√11$

$2/√11$

$3/√11$

$4/√11$

$5/√11$

3.

MULTIPLE CHOICE QUESTION

2 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

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diketahui p = 6i + 7j - 6k dan
q = xi + j + 4k. Jika panjang proyeksi q pada p adalah 2, maka x adalah

5/6

3/2

13/2

43/6

53/6

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

vektor v = 6i - 8j
vektor s = 4i + 5 j
maka panjang proyeksi vektor s terhadap v adalah...

6,4

-6,4

1,6

-1,6

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diketahui vektor a = 2i - 3j + 4k dan vektor b = 4i - 2j + 4k. Panjang proyeksi skalar pada vektor a pada b adalah ...

15

5

1

1/5

1/15

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Diketahui vektor a = 3i + j – 5k dan vektor b = -i + 2j – 2k. Proyeksi ortogonal vektor a pada b adalah ...

-i - 2j –2k

-i - 2j +2k

-i + 2j –2k

i + 2j –2k

i + 2j +2k

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Microsoft

or continue with

Facebook

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

20 questions

KUIZ KEBARANGKALIAN PERISTIWA BERGABUNG

Quiz

•

11th Grade

20 questions

Geometria no espaço

Quiz

•

10th - 12th Grade

20 questions

SECCIONES CÓNICAS

Quiz

•

10th Grade

20 questions

Solving Multistep Inequalities

Quiz

•

8th Grade - University

20 questions

Números complejos

Quiz

•

12th Grade

20 questions

Coordinate Plane and Quadrants

Quiz

•

6th Grade - University

21 questions

Ellipses

Quiz

•

10th - 12th Grade

20 questions

Limits of Algebraic Functions

Quiz

•

11th Grade

Popular Resources on Wayground

10 questions

How much do you know about our Portrait of an Eagle?

Quiz

•

10th Grade

10 questions

Fast Food Slogans

Quiz

•

6th - 8th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Identifying equations

Quiz

•

KG - University

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

9 questions

Proving lines are parallel using angles

Quiz

•

9th - 11th Grade

10 questions

Midpoint Formula

Quiz

•

10th Grade

12 questions

Parallel Lines Cut by a Transversal

Quiz

•

10th Grade

15 questions

Triangle Sum Theorem and Exterior Angle Theorem

Quiz

•

10th Grade

15 questions

2.3 (b) Domain & Range Lesson Check

Quiz

•

9th - 12th Grade

20 questions

Classifying Real Numbers

Quiz

•

6th - 12th Grade

PROYEKSI VEKTOR 6

Diketahui u=4i-3j+k dan v=2i-2j+k. Tentukan panjang proyeksi ortogonal u pada v !

Diketahui u⃗=2i+j−2k danDiketahui\ u⃗=2i+j-2k\ danDiketahui u⃗=2i+j−2k dan v⃗=i+3j+k.Tentukan panjang v⃗=i+3j+k.Tentukan\ panjang\ v⃗=i+3j+k.Tentukan panjang proyeksi orthogonal u⃗ pada v⃗.proyeksi\ orthogonal\ u⃗\ pada\ v⃗.proyeksi orthogonal u⃗ pada v⃗.

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

Diketahui p = 6i + 7j - 6k danq = xi + j + 4k. Jika panjang proyeksi q pada p adalah 2, maka x adalah

vektor v = 6i - 8j vektor s = 4i + 5 jmaka panjang proyeksi vektor s terhadap v adalah...

Diketahui vektor a = 2i - 3j + 4k dan vektor b = 4i - 2j + 4k. Panjang proyeksi skalar pada vektor a pada b adalah ...

Diketahui vektor a = 3i + j – 5k dan vektor b = -i + 2j – 2k. Proyeksi ortogonal vektor a pada b adalah ...

Diketahui u=4i-3j+k dan v=2i-2j+k. Tentukan panjang proyeksi ortogonal u pada v !

Diketahui vektor a = 2i - 3j + 4k dan vektor b = 4i - 2j + 4k. Panjang proyeksi skalar pada vektor a pada b adalah ...

Proyeksi vektor yang berupa vektor juga dinamakan?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$Diketahui\ u⃗=2i+j-2k\ dan$
$v⃗=i+3j+k.Tentukan\ panjang\$
$proyeksi\ orthogonal\ u⃗\ pada\ v⃗.$

Diketahui p = 6i + 7j - 6k dan
q = xi + j + 4k. Jika panjang proyeksi q pada p adalah 2, maka x adalah

vektor v = 6i - 8j
vektor s = 4i + 5 j
maka panjang proyeksi vektor s terhadap v adalah...