Free Printable Vectors review

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Vectors review

Total questions: 19

Worksheet time: 29mins

Name

Class

Date

Which statement describes a vector?

It has magnitude but no direction

It has direction but no magnitude

It has both direction and magnitude

It has constant magnitude but no
direction

a: <3, -4>

Evaluate: -3a

<3, -4>

<-9, 12>

a: <3, -4>

b: <0, 1>

Evaluate: a - b

<3, -5>

<3, 3>

<-3, 5>

<0, -4>

How are vector A and vector -2A different?

they are traveling in different directions

Vector -2A is 2x as big as vector A

vector -2A is 2X as big and traveling in the opposite direction

Vector A is 2X as big and traveling in the opposite direction

a = <3, 2> b = <-4, 0> ; draw a + b

a: <2, -4>

b: <-1, 2>

Evaluate: a + 2b

<1, -2>

<-2, 4>

<0, 0>

<-2, 1>

If v = < 3, -1 > and w = < -8, 5 >, what is the vector 2v + w?

< -2, 3 >

< 14, 7 >

< -5, 4 >

< -2, 4 >

If w = <2, -5> and y = <2, 0>, find 2w + y

<-10, 2>

<4, -5>

<-6, 10>

<6, -10>

Given u = <3, 7> and v =<-5, 4>, find 2u - 3v

<21, 2>

<-11, 26>

<8, 3>

10.

Find the resultant vector.

<-7, -1>

<5, 3>

<1, -9>

<8, 11>

11.

a = <2, 1>; b = <4, -3>; c = <-3, -5>. Find 2a +c - 3b

<17, 14>

<1, 4>

<-13, 10>

<5, -16>

12.

Direction of AB

Distance of vector AB

Vector AB

Magnitude of vector AB

13.

Find the magnitude.

-4

14.

Find the magnitude.

-10

-8

15.

Find the magnitude.

-4

16.

Find the magnitude of the vector <-5, 12>

10.91

17.

c = <2, -3> ; f = <5, 6> . Find |c-f|

22.67

6.23

9.49

18.

a = <-5, 6> ; b = <1, -2>. Find 2|a| - |b|

18.00

13.38

12.1

9.76

19.

v = <7, 10> ; r = <-4, 8>. Find |3r - 2v|

36.46

12.93

29.53

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Vectors review

Total questions: 19

Worksheet time: 29mins

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