Posted by **ODU** on Tuesday, July 2, 2013 at 9:19pm.

Vector A has a magnitude of 71 units and points due west, while vector B has the same magnitude and points due south. Find the magnitude and direction of (a) A + B and (b) A - B . Specify the directions relative to due west.

- gen physics -
**Henry**, Wednesday, July 3, 2013 at 8:00pm
A = 71[180o]. B = 71[270o].

a. A+B=(71*cos180+71*cos270)+i(71*sin180+71*sin270)

A+B = (-71+0) + i(0-71)

A+B = -71 - i71 = -100.4]45o] or

100.4[45o+180o] = 100.4[225o].

Since the resultant is in Q3, 45o is the

reference angle.

b. A-B=(71*cos180-71*cos270)-i(71sin180-71sin270)

A-B = (-71-0) + i(0-(-71))

A-B = -71 + i71 = -100.4[-45o] or

100.4[-45+180] = 100.4[135o].

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