v = < 6 , 8 > v=<6,8> v = < 6 , 8 > Find the magnitude of vector v.

10 \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">

Which vector has the same direction as vector v. v = < − 5 , − 12 > v=<-5,-12> v = < − 5 , − 1 2 >

< − 5 13 , − 12 13 > <-\frac{5}{13},-\frac{12}{13}> < − 1 3 5 , − 1 3 1 2 >

< − 13 5 , − 13 12 > <-\frac{13}{5},-\frac{13}{12}> < − 5 1 3 , − 1 2 1 3 >

< 12 13 , 5 13 > <\frac{12}{13},\frac{5}{13}> < 1 3 1 2 , 1 3 5 >

< 65 , 156 > <65,156> < 6 5 , 1 5 6 >

Find the vector that has the given magnitude and direction angle. ∥ v ∥ = 7 , θ = 270 ° \parallel v\parallel=7,\ \theta=270\degree ∥ v ∥ = 7 , θ = 2 7 0 °

< 0 , − 7 > <0,-7> < 0 , − 7 >

< − 7 , 0 > <-7,0> < − 7 , 0 >

< − 7 , − 7 > <-7,-7> < − 7 , − 7 >

Evaluate ∥ < 3 , − 7 > ∥ \parallel<3,-7>\parallel ∥ < 3 , − 7 > ∥

58 \sqrt{58} 5 8 <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">

2 i 10 2i\sqrt{10} 2 i 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">

Given vector v = < − 3 , 7 > v=<-3,7> v = < − 3 , 7 > , find the direction angle, θ.

113.20 ° 113.20\degree 1 1 3 . 2 0 °

246.80 ° 246.80\degree 2 4 6 . 8 0 °

66.80 ° 66.80\degree 6 6 . 8 0 °

293.20 ° 293.20\degree 2 9 3 . 2 0 °

Given u = < 2 , − 5 > , v = < − 4 , 1 > u=<2,-5>,\ v=<-4,1> u = < 2 , − 5 > , v = < − 4 , 1 > , find 3 u + 2 v 3u+2v 3 u + 2 v .

< − 2 , − 13 > <-2,-13> < − 2 , − 1 3 >

< − 2 , − 4 > <-2,-4> < − 2 , − 4 >

< − 6 , − 8 > <-6,-8> < − 6 , − 8 >

< 10 , 10 > <10,10> < 1 0 , 1 0 >

Find the resultant of the vectors < 10 cos ⁡ 25 ° , 10 sin ⁡ 25 ° > <10\cos25\degree,\ 10\sin25\degree> < 1 0 cos 2 5 ° , 1 0 sin 2 5 ° > and < 12 cos ⁡ 337 ° , 12 sin ⁡ 337 ° > <12\cos337\degree,\ 12\sin337\degree> < 1 2 cos 3 3 7 ° , 1 2 sin 3 3 7 ° > .

< 20.11 , − 0.46 > <20.11,\ -0.46> < 2 0 . 1 1 , − 0 . 4 6 >

< 4.37 , 6.97 > <4.37,\ 6.97> < 4 . 3 7 , 6 . 9 7 >

< 20.11 , 8.91 > <20.11,\ 8.91> < 2 0 . 1 1 , 8 . 9 1 >

< 7.52 , − 3.21 > <7.52,\ -3.21> < 7 . 5 2 , − 3 . 2 1 >

Find the magnitude of the resultant of these two vectors: ( 4 i + 3 j ) \left(4i+3j\right) ( 4 i + 3 j ) and ( 2 i − 7 j ) \left(2i-7j\right) ( 2 i − 7 j ) .

2 13 2\sqrt{13} 2 1 3 <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">

Which of these represents the vector with a magnitude of 6 and direction angle of 38 o ?

4.73 i + 3.69 j 4.73i+3.69j 4 . 7 3 i + 3 . 6 9 j

3.69 i − 4.73 j 3.69i-4.73j 3 . 6 9 i − 4 . 7 3 j

− 4.73 i − 3.69 j -4.73i-3.69j − 4 . 7 3 i − 3 . 6 9 j

− 3.69 i + 4.73 j -3.69i+4.73j − 3 . 6 9 i + 4 . 7 3 j

Which of the following is the component form of A B → \overrightarrow{AB} 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"> with initial point A ( − 5 , 3 ) A\left(-5,3\right) A ( − 5 , 3 ) and terminal point B ( 2 , − 1 ) B\left(2,-1\right) B ( 2 , − 1 ) .

< 7 , − 4 > <7,-4> < 7 , − 4 >

< 4 , − 1 > <4,-1> < 4 , − 1 >

< − 6 , 4 > <-6,4> < − 6 , 4 >

Given B = < 7 , − 3 > B=<7,-3> B = < 7 , − 3 > U = < − 3 , 3 > U=<-3,3> U = < − 3 , 3 > C = < 0 , − 5 > C=<0,-5> C = < 0 , − 5 > , solve: ___________ - B = U.

< − 10 , 6 > <-10,6> < − 1 0 , 6 >

< 10 , − 6 > <10,-6> < 1 0 , − 6 >

< − 4 , 0 > <-4,0> < − 4 , 0 >

An airplane traveling directly northwest has airspeed of 450 kilometers per hour. The wind velocity is 40 kilometers per hour in the direction S 30 o W. What is the direction angle?

140.02 ° 140.02\degree 1 4 0 . 0 2 °

320.02 ° 320.02\degree 3 2 0 . 0 2 °

139.80 ° 139.80\degree 1 3 9 . 8 0 °

136.44 ° 136.44\degree 1 3 6 . 4 4 °

Vectors Assessment

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSN.VM.A.1, HSN.VM.A.2, HSN-VM.B.4A

+2

Standards-aligned

C Allison

Used 26+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find $u+v$ given $u=<-10,-4>$ , $v=<-3,8>$

< -14, 4>

< - 7, - 14>

< 7, 4>

< -13, 4>

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$v=<6,8>$ Find the magnitude of vector v.

14

100

10

$\sqrt{10}$

Tags

CCSS.HSN.VM.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which vector has the same direction as vector v. $v=<-5,-12>$

$<-\frac{13}{5},-\frac{13}{12}>$

$<-\frac{5}{13},-\frac{12}{13}>$

$<\frac{12}{13},\frac{5}{13}>$

$<65,156>$

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the vector that has the given magnitude and direction angle. $\parallel v\parallel=7,\ \theta=270\degree$

$<0,-7>$

$<-7,0>$

$<-7,-7>$

$<7,7>$

Tags

CCSS.HSN.VM.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the given vectors u and v, find the dot product $u\cdot v$
$u=<3.45,6.72>,\ v=<-2.15,5.60>$

45.05

13.62

12.39

30.21

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write the vector with the initial point $\left(-2,4\right)$ and terminal point $\left(-3,5\right)$ in component form.

$<-1,-1>$

$<1,1>$

$<1,-1>$

$<-1,1>$

Tags

CCSS.HSN.VM.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Evaluate $\parallel<3,-7>\parallel$

$2\sqrt{10}$

$2i\sqrt{10}$

$\sqrt{58}$

$2$

Tags

CCSS.HSN.VM.A.1

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Vectors Assessment

20 questions

Find $u+v$ given $u=<-10,-4>$ , $v=<-3,8>$

$v=<6,8>$ Find the magnitude of vector v.

Which vector has the same direction as vector v. $v=<-5,-12>$

Find the vector that has the given magnitude and direction angle. $\parallel v\parallel=7,\ \theta=270\degree$

For the given vectors u and v, find the dot product $u\cdot v$
$u=<3.45,6.72>,\ v=<-2.15,5.60>$

Write the vector with the initial point $\left(-2,4\right)$ and terminal point $\left(-3,5\right)$ in component form.

Evaluate $\parallel<3,-7>\parallel$

Given vector $v=<-3,7>$ , find the direction angle, θ.

Given $u=<2,-5>,\ v=<-4,1>$ , find $3u+2v$ .

Find the resultant of the vectors $<10\cos25\degree,\ 10\sin25\degree>$ and $<12\cos337\degree,\ 12\sin337\degree>$ .

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Vectors Assessment

20 questions

Find u+vu+vu+v given u=<−10,−4>u=<-10,-4>u=<−10,−4> , v=<−3,8>v=<-3,8>v=<−3,8>

v=<6,8>v=<6,8>v=<6,8> Find the magnitude of vector v.

Which vector has the same direction as vector v. v=<−5,−12>v=<-5,-12>v=<−5,−12>

Find the vector that has the given magnitude and direction angle. ∥v∥=7, θ=270°\parallel v\parallel=7,\ \theta=270\degree∥v∥=7, θ=270°

For the given vectors u and v, find the dot product u⋅vu\cdot vu⋅v u=<3.45,6.72>, v=<−2.15,5.60>u=<3.45,6.72>,\ v=<-2.15,5.60>u=<3.45,6.72>, v=<−2.15,5.60>

Write the vector with the initial point (−2,4)\left(-2,4\right)(−2,4) and terminal point (−3,5)\left(-3,5\right)(−3,5) in component form.

Evaluate ∥<3,−7>∥\parallel<3,-7>\parallel∥<3,−7>∥

Given vector v=<−3,7>v=<-3,7>v=<−3,7> , find the direction angle, θ.

Given u=<2,−5>, v=<−4,1>u=<2,-5>,\ v=<-4,1>u=<2,−5>, v=<−4,1> , find 3u+2v3u+2v3u+2v .

Find the resultant of the vectors <10cos⁡25°, 10sin⁡25°><10\cos25\degree,\ 10\sin25\degree><10cos25°, 10sin25°> and <12cos⁡337°, 12sin⁡337°><12\cos337\degree,\ 12\sin337\degree><12cos337°, 12sin337°> .

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Popular Resources on Wayground

Discover more resources for Mathematics

Find $u+v$ given $u=<-10,-4>$ , $v=<-3,8>$

$v=<6,8>$ Find the magnitude of vector v.

Which vector has the same direction as vector v. $v=<-5,-12>$

Find the vector that has the given magnitude and direction angle. $\parallel v\parallel=7,\ \theta=270\degree$

For the given vectors u and v, find the dot product $u\cdot v$
$u=<3.45,6.72>,\ v=<-2.15,5.60>$

Write the vector with the initial point $\left(-2,4\right)$ and terminal point $\left(-3,5\right)$ in component form.

Evaluate $\parallel<3,-7>\parallel$

Given vector $v=<-3,7>$ , find the direction angle, θ.

Given $u=<2,-5>,\ v=<-4,1>$ , find $3u+2v$ .

Find the resultant of the vectors $<10\cos25\degree,\ 10\sin25\degree>$ and $<12\cos337\degree,\ 12\sin337\degree>$ .