Physics help?

Question

For the vectors given in Fig. 3-32 (|A| = 64.0 and = 58.0°), determine the following.

Figure 3-32
http://www.webassign.net/giancoli5/3_35alt.gif
(a) A - B + C
Magnitude
Direction ° (counterclockwise from the +x axis is positive)
(b) A + B - C
Magnitude
Direction ° (counterclockwise from the +x axis is positive)
(c) C - A - B
Magnitude
Direction ° (counterclockwise from the +x axis is positive)

Answer 1

In general
Fist breakdown every vector in in to x an dy componnent and then
Add x and y components as specified.

Lets do a)

A-B+C=R

Ax= A cos(28)
Ay=A sin(28)

Bx= - B cos(Theta)=- B cos(58)
By=B sin(Theta)=B sin(58)

Cx= C cos(270)=0
Cy=C sin(270)=-C

Now
Rx= A cos(28) - (- B cos(58)) + 0
Ry=A sin(28) - (B sin(58)) + C

Then
R=sqrt( Rx^2 + Ry^2)
Angle = arcTan(Ry/Rx)

repeat the same for b) and c).