Vectors - Assessment

1.

Multiple Choice

15 mins

1 pt

Write in component form.

<0, 4>

<8, 2>

<2, 8>

<0, 2>

2.

Multiple Choice

15 mins

1 pt

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

6

8.2

10

10.4

3.

Multiple Choice

15 mins

1 pt

Find the component form of vector AB with initial point A(0, 8) and terminal point B(-9, -3)

<-9, 5>

<-9, 11>

<-9, -11>

<-9, 5>

4.

Multiple Choice

5 mins

1 pt

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

<21, 2>

<-19, -13>

<-15, 3>

23

5.

Multiple Select

30 sec

1 pt

What are all the possible formulae for the scalar product of two vectors?

6.

Multiple Choice

30 sec

1 pt

Find the scalar product of the given vectors

sqrt 13

13

8

7

7.

Multiple Choice

2 mins

1 pt

Find the angle between the two vectors (to the nearest degree)

155

25

32

75

8.

Multiple Choice

30 sec

1 pt

What is the scalar product of two parallel vectors?

1

9.

Multiple Choice

15 mins

1 pt

Find the angle between vectors (1,3) and (2,-5).

40.2°

49.7°

139.7°

92.6°

10.

Multiple Choice

15 mins

1 pt

Find the cross product of (3,4,7) and (4,9,2).

(-55, 22, 11)

(-55, -22, -9)

(71,34, 63)

(-71, -34, -630

11.

Multiple Choice

45 sec

1 pt

The cross product of vectors A and B is

parallel to either A or B

parallel to both A and B

perpendicular to either A or B

perpendicular to both A and B

12.

Multiple Choice

5 mins

1 pt

If vector u=(4,-2) and vector v=(6,12), then the vectors are

parallel

perpendicular

collinear

scalar multiples

13.

Multiple Choice

30 sec

1 pt

Which vector operation is commutative?

Dot Product

Vector Projection

Scalar Projection

Cross Product

14.

Multiple Select

30 sec

1 pt

Given parallel vectors u and v. Answer ALL that apply

their scalar product is zero

their scalar product is either 1 or -1

u is a scalar multiple of v

magnitude of u equals the magnitude of v

15.

Multiple Choice

3 mins

1 pt

The y value of the vector product is ________.

-4

4

8

-8

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