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Vector Addition and Rectangular components

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

2.

Find the magnitude of a vector (3, -4).

a)

5

b)

3

c)

25

d)

-4

3.

Find the magnitude of

a)

4

b)

5

c)

3

d)

square root of 5.

4.

Write in component form

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

5.

What is the horizontal component of a vector w = (-18, 5)

a)

-18

b)

5

c)

18

d)

-5

6.

Given u = (3,5) and v = (-2,2). Find u + v?

a)

<5, 3>

b)

<1, 7>

c)

<7, 1>

d)

<3, 5>

7.

Given u = (3,5) and v = (-2,2). Find 3u - v?

a)

<9,15>

b)

<7, 17>

c)

<15, 9>

d)

<11, 13>

8.

Given u = (3,5) and v = (-2,2). Find -u + 2v?

a)

<-7, -1>

b)

<5, 3>

c)

<1, -9>

d)

<8, 11>

9.

Determine the direction of <8, -2>

a)

346 degrees

b)

14 degrees

c)

166 degrees

d)

194 degrees

10.

Two forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant.

a)

5408.2

b)

26.3

c)

689.8

d)

73.5