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 )

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 𝑐 = 5 𝑖 − 2 𝑗 − 𝑘 𝑏=−𝑖+3𝑗+7𝑘\ dan\ 𝑐=5𝑖−2𝑗−𝑘 b = − i + 3 j + 7 k d a n c = 5 i − 2 j − k T e n t u k a n a ⃗ − c ⃗ ! Tentukan\ a⃗-c⃗! T e n t u k a n a ⃗ − c ⃗ !

( 7 , 7 , 3 ) \left(7,7,3\right) ( 7 , 7 , 3 )

( − 7 , 7 , 3 ) \left(-7,7,3\right) ( − 7 , 7 , 3 )

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 )

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

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 )

PH VEKTOR RIZA

Authored by Riza Asfa

Mathematics

11th Grade

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47 questions

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MATCH QUESTION

1 min • 1 pt

Jodohkan vektor-vektor berikut dengan pengertiannya

Panjang nol dan arah belum jelas

Vektor satuan

Titik awal di posisi O

Vektor posisi

vektor yang memiliki panjang satu satuan

Vektor Nol

MATCH QUESTION

15 mins • 20 pts

Diketahui vektor $\overrightarrow{\ a}\ dan\ \overrightarrow{\ b}$

a + b

-b

a - b

MATCH QUESTION

15 mins • 20 pts

Jika $\overrightarrow{\ u}=\left(x,y,z\right)$ dan $\overrightarrow{\ v}=\left(a,b,c\right)$ maka

2u-v

$\left(2x-a,\ 2y-b,\ 2z-c\right)$

u = 3v

$\sqrt[]{a^2+b^2+c^2}$

panjang vektor v

$x=3a,\ y=3b,\ z=3c$

MATCH QUESTION

15 mins • 20 pts

Jika $\overrightarrow{\ u}=\left(x,y,z\right)$ dan $\overrightarrow{\ v}=\left(a,b,c\right)$ maka

sudut antara u dan v

$\left(x+a,\ y+b,\ z+c\right)$

u.v

$x.a+y.b+z.c$

u + v

$\cos\ \theta=\frac{\overrightarrow{\ u}.\overrightarrow{\ v}}{\left|\overrightarrow{\ u}\right|\left|\overrightarrow{\ v}\right|}$

MATCH QUESTION

15 mins • 20 pts

Jodohkan soal pada gambar dengan jawabannya!

Proyeksi vektor CD pada AB adalah ....

Proyeksi vektor CB pada BD adalah ....

Proyeksi vektor AC pada AB adalah ....

Proyeksi vektor CD pada CE adalah ....

MULTIPLE CHOICE QUESTION

15 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

15 mins • 1 pt

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

(0,-4,8)

(0,4,8)

(0,-4,-8)

(2,4,8)

(-2,4,8)

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

$(-3,7,-5)$

$(3,7,5)$

$(-3,7,5)$

$\left(7,7,3\right)$

$\left(-7,7,3\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

$Diketahui\ ׀a⃗׀=8,׀b⃗׀=2$
$dan\ ϴ=45^o.Tentukan\ a⃗.b⃗!$

$18√2$

$16√2$

$16√3$

$8√2$

$8√3$

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jika $A\left(-4,1\right),\ B\left(2,5\right)\ dan\ C\left(-3,6\right)$ maka $\overrightarrow{AB}+\overrightarrow{AC}=$ ....

$\left[-9,9\right]$

$\left[9,-9\right]$

$\left[7,9\right]$

$\left[7,-9\right]$

$\left[-7,7\right]$

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PH VEKTOR RIZA

Jodohkan vektor-vektor berikut dengan pengertiannya

Diketahui vektor a→ dan b→\overrightarrow{\ a}\ dan\ \overrightarrow{\ b} a dan b

Jika u→=(x,y,z)\overrightarrow{\ u}=\left(x,y,z\right) u=(x,y,z) dan v→=(a,b,c)\overrightarrow{\ v}=\left(a,b,c\right) v=(a,b,c) maka

Jika u→=(x,y,z)\overrightarrow{\ u}=\left(x,y,z\right) u=(x,y,z) dan v→=(a,b,c)\overrightarrow{\ v}=\left(a,b,c\right) v=(a,b,c) maka

Jodohkan soal pada gambar dengan jawabannya!

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+j+k,Diketahui\ a⃗=i+j+k,Diketahui a⃗=i+j+k, 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=2i+5j+4kDiketahui\ a⃗=2i+5j+4kDiketahui a⃗=2i+5j+4k 𝑏=−𝑖+3𝑗+7𝑘 dan 𝑐=5𝑖−2𝑗−𝑘𝑏=−𝑖+3𝑗+7𝑘\ dan\ 𝑐=5𝑖−2𝑗−𝑘b=−i+3j+7k dan c=5i−2j−k Tentukan a⃗−c⃗!Tentukan\ a⃗-c⃗!Tentukan a⃗−c⃗!

Diketahui ׀a⃗׀=8,׀b⃗׀=2Diketahui\ ׀a⃗׀=8,׀b⃗׀=2Diketahui ׀a⃗׀=8,׀b⃗׀=2 dan ϴ=45o.Tentukan a⃗.b⃗!dan\ ϴ=45^o.Tentukan\ a⃗.b⃗!dan ϴ=45o.Tentukan a⃗.b⃗!

Jika A(−4,1), B(2,5) dan C(−3,6)A\left(-4,1\right),\ B\left(2,5\right)\ dan\ C\left(-3,6\right)A(−4,1), B(2,5) dan C(−3,6) maka AB→+AC→=\overrightarrow{AB}+\overrightarrow{AC}=AB+AC= ....

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Discover more resources for Mathematics

Diketahui vektor $\overrightarrow{\ a}\ dan\ \overrightarrow{\ b}$

Jika $\overrightarrow{\ u}=\left(x,y,z\right)$ dan $\overrightarrow{\ v}=\left(a,b,c\right)$ maka

Jika $\overrightarrow{\ u}=\left(x,y,z\right)$ dan $\overrightarrow{\ v}=\left(a,b,c\right)$ maka

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

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

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

$Diketahui\ ׀a⃗׀=8,׀b⃗׀=2$
$dan\ ϴ=45^o.Tentukan\ a⃗.b⃗!$

Jika $A\left(-4,1\right),\ B\left(2,5\right)\ dan\ C\left(-3,6\right)$ maka $\overrightarrow{AB}+\overrightarrow{AC}=$ ....