Add/Sub. Vectors A & B: Find Cx & Cy

[littlesohi]

Vector A has a magnitude of 12 (in some unspecified unit) and makes an angle of 27 with the x-axis, and a vector B has a length of 22 and makes an angle of 72 with the x-axis. Fnd the components of the vector C in the following:

(a) C=A+B

Cx=

Cy=

(b) C=A-B

Cx=

Cy=

 

[stonecoldgen]

you can solve it using the law of sines and the law of cosines, but i prefer solving it with components

Vx=VxA+VxB
Vy=VyA+VyBboth make acute angles to the x-axis, so don't worry, just use those angles, but if you had something like, ''it makes a -30 degree angle with the y-axis'' (meaning it is 330 degrees in the unit circle) you have to use the 330, ALWAYS THE WHOLE WAY AROUND.know you have a big resulting triangle, try to continue yourself in the operations...