FIND MAGNITUDE AND DIRECTION ANGLE OF THE VECTOR WORKSHEET

Find the following information for each vector: Graph, component form, magnitude and direction angle.

Problem 1 :

RS where R=(7,2) S=(-1,-10)

Solution

Problem 2 :

PQ where P=(-4,-10) Q=(-5,2)

Solution

Problem 3 :

RS where R=(10,7) S=(-5,-3)

Solution

Problem 4 :

RS where R=(-6,-4) S=(-8,-7)

Solution

Answer Key

1) 

Component form

V = <-8, -12>

Magnitude

14.422

Direction angle

θ = 236.31°

vector-q1

2)

Component form

V = <-1, 12>

Magnitude

12.042

Direction angle

θ = 94.77°

vector-q2.png

3) 

Component form

V = <-15, -10>

Magnitude

18.028

Direction angle

θ = 213.69°

vector-q3.png

4)

Component form

V = <-2, -3>

Magnitude

3.606

Direction angle

θ = 236.31°

vector-q4.png

Given the initial and terminal points, find the following information for each vector: Component form, direction angle.

Problem 1 :

CD where C=(1,-9) D=(2,1)

Solution

Problem 2 :

CD where C=(9,-6) D=(4,-7)

Solution

Problem 3 :

PQ where P=(-2,1) Q=(-1,3)

Solution

Problem 4 :

AB where A=(-6,-1) B=(-5,10)

Solution

Problem 5 :

RS where R=(-1,-7) S=(7,-1)

Solution

Answer Key

Question

1.

2.

3.

4.

5.

Component form

V = < 1, 10 >

V = < -5, -1 >

V = < 1, 2 >

V = < 1, 11 >

V = < 8, 6 >

Direction angle

θ = 84.29°

θ = 191.31°

θ = 63.43°

θ = 84.81°

θ = 36.87°

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