vector components?

Question

1.a) use the method of components to find the magnitude and direction of the vector sum R1 = A + B. The vector A = 7.56 m at an angle o=180 from the positive horizontal axis, and B=14.3 m at an angle g= 70.3 from the positive horizontal axis. what is the angle, i, from the positive horizontal axis of the vector sum R1?

B) what is the magnitude of the vector difference R2, where R2=A-B? what is the angle H of the resulting vector?

C) what is the magnitude of the vector difference where R3=B-A? What is the angle G of the resulting vector?

Just need the answer no need for simplification. Thanx !!

Answer 1

Convert the vectors from (r,Θ) coordinates to (x,y) coordinates by
x = r*cos(Θ)
y = r*sin(Θ) Then add the x and y coordinates for each vector together and convert the resultant vector back to (r,Θ) coordinates by using
r = √(x² + y²) and
Θ = arctan (y/x)

Doug