Free Printable Vectors 4/1/22

1.

Find the direction of vector <0, 4>.

a)

180⁰

b)

90⁰

c)

270⁰

d)

0⁰

2.

Find the direction of vector <6,5>.

a)

219⁰

b)

39⁰

c)

129⁰

d)

309⁰

3.

Find the component form of AB with initial point A(1, -3) and terminal point B(1, 3)

a)

<2, 0>

b)

<0, 6>

c)

2i

d)

6j

4.

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

a)

-9i + 5j

b)

-9i - 11j

c)

<-9, -11>

d)

<-9, 5>

5.

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

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

6.

A quantity that has both magnitude and direction is called a scalar quantity.

a)

True

b)

False

7.

Find the direction of the vector <-2,1>.

a)

63⁰

b)

333⁰

c)

27⁰

d)

153⁰

8.

For vectors $\overrightarrow{AB}$ and $\overrightarrow{CD}$ , determine if they have the same magnitude, and whether they are parallel.
A(11, -11) and B(8, -4)
C(5, 2) and D(12, -1)
Select all that apply.

a)

magnitudes are equal

b)

magnitudes are not equal

c)

parallel

d)

not parallel

9.

$q=<-3,\ 11>$
Find the direction angle to the nearest tenth.

(a)

10.

A vector is a quantity that has both _______ and _________.

Select all that apply.

a)

direction

b)

amplitude

c)

acceleration

d)

magnitude

e)

velocity

11.

Find the magnitude of a vector using ...

a)

Sine & Cosine

b)

Inverse Tangent

c)

Pythagorean Theorem

d)

Multiplication

12.

Which of the following is always positive?

a)

vector

b)

scalar

c)

direction

d)

magnitude

13.

Given the magnitude & direction of the resultant, find the horizontal & vertical components. Direction: 287° Magnitude: 422mph

a)

Horizontal -403.6
Vertical 123.4

b)

Horizontal 123.4
Vertical -403.6

c)

Horizontal 123.4
Vertical 403.6

d)

Horizontal -123.4
Vertical -403.6

14.

Which of the following describes the vector above?

a)

45 cm

b)

45 cm at 30 degrees North of East

c)

45 cm at 30 degrees East of North

d)

45 cm North East

15.

A resultant vector is

a)

equal to the sum of one vector.

b)

equal to the sum of two or more vectors.

c)

equal to the difference of one vector.

16.

Find the magnitude of the vector -5i + 12j

a)

13

b)

10.91

c)

7

d)

17

17.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

18.

Determine whether each matrix product is defined. If so, what are the dimensions of the product.
A_2x3 B_2x5

a)

no

b)

yes, 2 x 5

c)

yes , 3 x 5

d)

yes , 2 x 3

19.

What is the exact answer to calculate det(A) .

a)

$\left(1\right)\left(-1\right)-\left(-2\right)\left(1\right)$

b)

$\left(1\right)\left(-1\right)+\left(-2\right)\left(1\right)$

c)

$\left(1\right)\left(1\right)-\left(-1\right)\left(-2\right)$

d)

$\left(1\right)\left(1\right)+\left(-1\right)\left(-2\right)$

20.

The vector v has magnitude 8 and direction angle 90°. The vector w has magnitude 2 and direction angle 0°.

Find the magnitude and direction angle θ of the sum v+w.

Round your answers to the nearest thousandth.

a)

9.103

47.632 degrees

b)

6.120

45 degrees

c)

8.367

77.912 degrees

d)

8.246

76.964 degrees

Vectors 4/1/22

Total questions: 20

Worksheet time: 42mins

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