Vector A points in the positive x direction and has a magnitude of 75m. The vector C = A + B points in the positive y direction and has a magnitude of 95m. Estimate magnitude and direction of vector B and verify with numerical calculation.
I know what the sketch is supposed to look like but I don't understand why the B vector ends up on the negative side? Help in explaining this question would be very appreciated, thank you.
Solve of B:
Subtract the corresponding components of the vectors:
This can be graphically explained using the parallelogram law: Arrange A and B so B starts at the end of A and draw a line from the start of A to the end of B to obtain C.