Vector A has magnitude of 8.0 at an angle of 80.0 o from the x-axis. Vector B ha

Question

Vector A has magnitude of 8.0 at an angle of 80.0 o from the x-axis. Vector B has magnitude of 6.0 at an angle of -30.0 o from the x-axis. Let C=A+B. Let D=A-B. Let V=2*A-B.

I NEED TO KNOW HOW TO FIND THE x and y COMPONENTS FOR V, PLEASE SHOW WORK! THANK YOU!

a.What is the x-component of vector C? Correct Answer: 6.585

b.What is the y-component of vector C? Correct Answer: 4.878

c.What is the x-component of vector D? Correct Answer: -3.807

d.What is the y-component of vector D? Correct Answer: 10.878

e.What is the x-component of vector V?

f. What is the y-component of vector V?

Explanation / Answer

Resolve components

Ax= 8.0 cos 80= 1.38 i

Ay = 8 sin 80 = 7.87 j

Bx = 6.0 cos 30 = 5.19 i

By = -6 sin30= -3 j

V= 2A- B

= 2 ( 1.38 i +7.87 j)- 5.19 i +3 j

=-2.43 i-18.74 j

the x-component of vector V is -2.43 i

the y-component of vector V is -18.74 j

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