Vektor \overrightarrow{r} 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"> adalah ....

5 q → − 2 p → 3 \frac{5\overrightarrow{q}-2\overrightarrow{p}}{3} 3 5 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"> − 2 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">

5 p → − 2 q → 3 \frac{5\overrightarrow{p}-2\overrightarrow{q}}{3} 3 5 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 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">

5 q → + 2 p → 7 \frac{5\overrightarrow{q}+2\overrightarrow{p}}{7} 7 5 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"> + 2 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">

3 q → + 2 p → 5 \frac{3\overrightarrow{q}+2\overrightarrow{p}}{5} 5 3 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"> + 2 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">

3 q → − 2 p → 3\overrightarrow{q}-2\overrightarrow{p} 3 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"> − 2 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">

Titik P(2,3) membagi ruas garis AB dengan perbandingan 5 : -2. Jika koordinat titik B(6,-9), Koordinat titik A adalah …

12 , − 27 12,-27 1 2 , − 2 7

( 27 , 12 ) \left(27,12\right) ( 2 7 , 1 2 )

( − 27 , 12 ) \left(-27,12\right) ( − 2 7 , 1 2 )

− 12 , − 27 -12,-27 − 1 2 , − 2 7

− 12 , 27 -12,27 − 1 2 , 2 7

Titik P(2, -1, 3) membagi ruas garis AB dengan perbandingan 9 : -4. Jika koordinat titik B(6,7, -9), Koordinat titik A adalah …

( 11 , 17 , − 24 ) (11,17,-24) ( 1 1 , 1 7 , − 2 4 )

( 17 , 10 , − 11 ) (17,10,-11) ( 1 7 , 1 0 , − 1 1 )

( 24 , 11 , 8 ) (24,11,8) ( 2 4 , 1 1 , 8 )

( − 12 , 8 , 17 ) (-12,8,17) ( − 1 2 , 8 , 1 7 )

( 10 , − 24 , 11 ) (10,-24,11) ( 1 0 , − 2 4 , 1 1 )

PERBANDINGAN VEKTOR

11th Grade

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10 Qs

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PERBANDINGAN VEKTOR

Quiz

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Mathematics

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11th Grade

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Practice Problem

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anita mayasari

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Jika koordinat titik A(3,1,4) dan B(-2,-4,-6) dan titik P membagi AB di dalam dengan perbandingan 3 : 2, koordinat titik P adalah ....

P(0,-2,-2)

P(0,-2,2)

P(0,2,-2)

P(0,2,4)

P(0,-2,4)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Titik A,B, dan Q segaris, dengan koordinat titik A(3,1,4), B(-2,-4,-6). Jika titik Q membagi AB di luar dengan perbandingan 3 : -2, koordinat titik Q adalah ....

Q(-12,-10,-10)

Q(12,10,10)

Q(-12,-14,-26)

Q(-12,14,26)

Q(12,-14,-26)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Titik A,B, dan C segaris, dengan titik A(-5,-4,11) dan B(-2,3,6). Jika $\overrightarrow{AB}=\frac{1}{3}\overrightarrow{BC}$ maka koordinat C adalah ....

C(7,24,9)

C(7,24,-9)

C(-7,24,-9)

C(-23,0,57)

C(23,0,-57)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Titik P terletak pada ruas garis AB dengan A(5,17,1) dan B(8,-1,4). Jika perbandingan AP : PB = 2 : 1, maka koordinat P adalah ....

P(-7,-5,3)

P(-7,5,3)

P(7,5,-3)

P(7,5,3)

P(7,-5,3)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Vektor $\overrightarrow{r}$ adalah ....

$\frac{5\overrightarrow{p}-2\overrightarrow{q}}{3}$

$\frac{5\overrightarrow{q}-2\overrightarrow{p}}{3}$

$\frac{5\overrightarrow{q}+2\overrightarrow{p}}{7}$

$\frac{3\overrightarrow{q}+2\overrightarrow{p}}{5}$

$3\overrightarrow{q}-2\overrightarrow{p}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Diketahui koordinat A(4,3,-2) dan B(3,4,-3). Jika P membagi AB diluar dengan perbandingan 3 : -2, maka koordinat P adalah ....

P(1,6,5)

P(-1,6,-5)

P(1,6,-5)

P(1,-6,5)

P(1,-6,-5)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Koordinat R(6,-4,-12) merupakan titik tengah ruas garis PQ. Jika P(4,5,-3) dan Q(a,b,c) maka nilai a-b+c adalah ....

-2

-1

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PERBANDINGAN VEKTOR

10 questions

Jika koordinat titik A(3,1,4) dan B(-2,-4,-6) dan titik P membagi AB di dalam dengan perbandingan 3 : 2, koordinat titik P adalah ....

Titik A,B, dan Q segaris, dengan koordinat titik A(3,1,4), B(-2,-4,-6). Jika titik Q membagi AB di luar dengan perbandingan 3 : -2, koordinat titik Q adalah ....

Titik A,B, dan C segaris, dengan titik A(-5,-4,11) dan B(-2,3,6). Jika \overrightarrow{AB}=\frac{1}{3}\overrightarrow{BC}AB=31​BC maka koordinat C adalah ....

Titik P terletak pada ruas garis AB dengan A(5,17,1) dan B(8,-1,4). Jika perbandingan AP : PB = 2 : 1, maka koordinat P adalah ....

Vektor \overrightarrow{r}r adalah ....

Diketahui koordinat A(4,3,-2) dan B(3,4,-3). Jika P membagi AB diluar dengan perbandingan 3 : -2, maka koordinat P adalah ....

Koordinat R(6,-4,-12) merupakan titik tengah ruas garis PQ. Jika P(4,5,-3) dan Q(a,b,c) maka nilai a-b+c adalah ....

Titik P(2,3) membagi ruas garis AB dengan perbandingan 5 : -2. Jika koordinat titik B(6,-9), Koordinat titik A adalah …

Titik P(2, -1, 3) membagi ruas garis AB dengan perbandingan 9 : -4. Jika koordinat titik B(6,7, -9), Koordinat titik A adalah …

Koordinat titik P yang terletak pada garis AB, jika A(4, -1), B(-1, 9), dan AP : PB = 2 : 3 adalah ....

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Titik A,B, dan C segaris, dengan titik A(-5,-4,11) dan B(-2,3,6). Jika $\overrightarrow{AB}=\frac{1}{3}\overrightarrow{BC}$ maka koordinat C adalah ....

Vektor $\overrightarrow{r}$ adalah ....