Quiz about Vectors Quiz Review

Question 1

Vector is a quantity with:

Accepted Answer

magnitude and direction

Answer

magnitude

Answer

direction

Answer

none of the above

Question 2

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

Accepted Answer

Yes, two vectors added together always produce the same resultant vector

Answer

No, because order matters

Answer

Yes, but c will be pointing in the opposite direction

Answer

No, because you can't add two vectors

Question 3

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

Accepted Answer

Yes, but c will be pointing in the opposite direction

Answer

Yes, two vectors subtracted together always produce the same resultant vector

Answer

No, because order matters

Answer

No, because you can't subtract two vectors

Question 4

When adding vectors graphically, the magnitude of the resultant vector is represented

Accepted Answer

the length of the vector drawn

Answer

the arrow head of the vector drawn

Answer

both of the above

Answer

none of the above

Question 5

What is the sum of a vector addition problem called?

Accepted Answer

resultant

Answer

components

Answer

scalar

Answer

magnitude

Question 6

Let u = <5, 2> and v = <1, -1>.

Find u + v.

Accepted Answer

<6, 1>

Answer

<4, -1>

Answer

<3, 4>

Answer

<1, 6>

Question 7

Let a = <-2, 0> and b = <-4, -8>.

Find a - b.

Accepted Answer

<2, 8>

Answer

<2, -8>

Answer

<-6, -8>

Answer

<-6, 8>

Question 8

If u = <-2, 0>, find 3u.

Accepted Answer

<-6, 0>

Answer

<-6, 3>

Answer

<6, 0>

Answer

<6, 3>

Question 9

If c = <-5, 4> and d = <8, 0>, calculate 2c + d

Accepted Answer

<-2, 8>

Answer

<-2, 0>

Answer

<6, 8>

Answer

<6, 0>

Question 10

If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.

Accepted Answer

<8, 8>

Answer

<5, -8>

Answer

<4, 8>

Answer

<-8, -8>

Question 11

Find the components of vector u, such that

<5, 8> - u = <-2, 10>

Accepted Answer

<7, -2>

Answer

<7, 2>

Answer

<-7, 2>

Answer

<-7, -2>

Question 12

Which are equivalent vectors?

Accepted Answer

u and v

Answer

u and -u

Answer

u and a

Answer

u and b

Question 13

Find the magnitude of the vector <10, -8>

Accepted Answer

12.81

Answer

2

Answer

6

Answer

18

Question 14

Find the magnitude of the vector <10, -8>

Accepted Answer

12.81

Answer

2

Answer

6

Answer

18

Question 15

In practice A of the figure, What is  the magnitude of the  resultant displacement?

Accepted Answer

11 km

Answer

5 km

Answer

8 km

Answer

15 km

Question 16

Find the magnitude of the vector <5, 5>

Accepted Answer

7.07

Answer

0

Answer

10

Answer

25

Question 17

A direction angle must: (select all that apply)

Accepted Answer

Start from 0 degrees

Answer

Be positive

Answer

Be less that 270 degrees

Answer

not be an axis value

Answer

be inside the triangle formed by the vector

Question 18

Given vector w, we can determine which of the following about its direction angle?

Accepted Answer

it will be positive

Accepted Answer

it will be more than 90 degrees

Answer

it will be negative

Answer

it will be more than 180 degrees

Question 19

Find the unit vector in the same direction as v.

Accepted Answer

<-5/13, -12/13>

Answer

<0.385, 0.923>

Answer

<-0.832, 0.555>

Answer

<5/13, 12/13>

Question 20

If vectors X and Y are added, then the resultant would be best represented by vector _____.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 21

K+G=F

Accepted Answer

False

Answer

True

Question 22

Which diagram represents t+u if $$t=<-8,7>$$ and $$u=<12,16>$$

Accepted Answer

Question 23

Which diagram represents m+n if $$m=<-8,4>$$ and $$n=<10,-17>$$

Accepted Answer

Question 24

Determine the components of the vector:

Accepted Answer

<5, 8.7>

Answer

<8.7, 5>

Answer

<59.1, 10.4>

Answer

<10.4, 59.1>

Question 25

Find the component form of the vector. Round to three decimals.

Accepted Answer

<8.030, 11.468>

Answer

<11.468, 8.030>

Answer

<8.934, 11.873>

Answer

<11.873, 8.934>

Question 26

Find the component form of the vector. Round to three decimals.

Accepted Answer

<16.314, 7.607>

Answer

<16.116, 7.798>

Answer

<16.298, 7.335>

Answer

<16.892, 7.530>

Question 27

What is the component form of a vector with a magnitude of 9 and direction angle of $$108\degree$$

Accepted Answer

$$<-2.78,8.56>$$

Answer

$$<-8.56,-2.78>$$

Answer

$$<8.56,2.78>$$

Answer

$$<-2.78,-8.56>$$

Question 28

What is the component form of a vector with a magnitude of 47 and direction angle of $$329\degree$$

Accepted Answer

$$<40.29,-24.21>$$

Answer

$$<40.29,0.86>$$

Answer

$$<-24.21,40.29>$$

Answer

$$<-40.29,24.21>$$

Question 29

Write vector CD as a linear combination. $$C=\left(-7,-5\right)$$ and $$D=\left(-10,-2\right)$$

Accepted Answer

-3i+3j

Answer

<-3,3>

Answer

<-3i,3j>

Answer

-3i,3j

Question 30

Write vector CD as a linear combination. $$C=\left(3,0\right)$$ and $$D=\left(-6,9\right)$$

Accepted Answer

-9i+9j

Answer

9i-9j

Answer

-3i-9j

Answer

4i+8j

Question 31

Write vector AB as a linear combination. $$A=\left(5,-1\right)$$ and $$B=\left(0,-8\right)$$

Accepted Answer

-5i-7j

Answer

-9i+9j

Answer

3i+10j

Answer

5i+7j

Question 32

Which of the following represents a vector with magnitude 12 in the direction of $$v=<-5,13>$$

Accepted Answer

< $$\frac{-60}{\sqrt[]{194}}$$ , $$\frac{156}{\sqrt[]{194}}$$ >

Answer

< $$\frac{60}{\sqrt[]{194}}$$ , $$\frac{-156}{\sqrt[]{194}}$$ >

Answer

<60, -156>

Answer

< $$\frac{-60}{194}$$ , $$\frac{156}{194}$$ >

Question 33

What are true bearings (also called air bearings)?

Accepted Answer

A bearing is an angle measured in degrees, clockwise from the north direction.

Answer

A bearing is an angle measured in degrees, counter - clockwise from the north direction.

Answer

A bearing is an angle measured in degrees clockwise from the east direction.

Answer

A bearing is an angle measured in degrees counter - clockwise from the east direction.

Answer

Any normal angle

Question 34

What is
the correct air bearing?

Accepted Answer

$$30\degree$$

Answer

$$330\degree$$

Answer

$$-30\degree$$

Answer

$$60\degree$$

Question 35

Choose the correct true bearing

Accepted Answer

$$255\degree$$

Answer

$$75\degree$$

Answer

$$195\degree$$

Answer

$$075\degree$$

Question 36

Choose the correct true bearing

Accepted Answer

$$332\degree$$

Answer

$$62\degree$$

Answer

$$062\degree$$

Answer

$$152\degree$$

Vectors Quiz Review

49 questions

Vector is a quantity with:

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

If v =〈a,b〉, then a is the ___________ component of v.

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

When adding vectors graphically, the magnitude of the resultant vector is represented

What is the sum of a vector addition problem called?

Let u = <5, 2> and v = <1, -1>.

Find u + v.

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is v + w?

Let a = <-2, 0> and b = <-4, -8>.

Find a - b.

If u = <-2, 0>, find 3u.

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Vectors Quiz Review

49 questions

Vector is a quantity with:

When adding two vectors graphically, a+b=c. Does b+a produce the same resultant vector c?

If v =〈a,b〉, then a is the ___________ component of v.

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

When adding vectors graphically, the magnitude of the resultant vector is represented

What is the sum of a vector addition problem called?

Let u = <5, 2> and v = <1, -1>.Find u + v.

Given v = 〈3,-5〉 and w = 〈-2,3〉, what is v + w?

Let a = <-2, 0> and b = <-4, -8>.Find a - b.

If u = <-2, 0>, find 3u.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Let u = <5, 2> and v = <1, -1>.

Find u + v.

Let a = <-2, 0> and b = <-4, -8>.

Find a - b.