Vector A has a magnitude of 9.30 units and makes an angle of 47.0 degrees counte

Question

Vector A has a magnitude of 9.30 units and makes an angle of 47.0 degrees counter-clockwise from the positive x-axis. Vector B has a magnitude of 8.00 units and is directed along the negative x-axis.

(a) Using graphical methods, find the vector sum A + B.

Magnitude of A + B:    units

Direction of A+ B:      degrees counterclockwise from +x-axis

(b) Using graphical methods, find the vector difference A - B.

Magnitude of A- B:    units

Direction of A - B:       degrees counterclockwise from +x-axis

Explanation / Answer

a) Ax = 9.3*cos47=6.34

Ay = 9.3 *sin47=6.80

Bx= -8

By =0

(A+B)x= -1.66

(A+B)y= 6.80

so we get 6.99 magnitude at angle 103.72 degree counter clock wies

b)

A-B = 14.34 i + 6.80j

so magnitude = 15.87 along 25.37 degree counter clock wies

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