A has a length 3.76 cm and is at an angle of 34.5 degrees above the
positive xdirection. B has a length 4.53 cm and is at an angle of
34.1 degrees above the negative xdirection. What is their sum?
If C = A + B, then:
C_{x} = A_{x} + B_{x}
C_{y} = A_{y} + B_{y}.
The resultant vector is: C = 0.65 cm + 4.67 cm
Or, express the resultant in terms of its magnitude and direction.
C^{2} = C_{x}^{2} + C_{y}^{2} = 0.65^{2} + 4.67^{2} or C = 4.72 cm.
tan(θ)  = 

The resultant vector has magnitude 4.72 cm and is rotated 97.9 counterclockwise from the +x direction.