Asked by Dakota

Vector A is directed along the positive y-axis and has a magnitude of sqrt 3.0 units. Vector B is directed along the negative x-axis and has magnitude 1.0 units. What are the magnitude and direction of A + B?
Answered by drwls
Since A and B are perpendicular, use the Pythagorean theorem for the magnitude.
Mag = sqrt[(sqrt3)^2+1] = sqrt 4 = 2

The sum vector A + B is arctan 1/sqrt3 = 30 degrees west of north.
Answered by Dakota
Thank you. Could you explain to me why we use arctan?? I just want to have a better understanding of why?
Answered by Tammy J
Vector A is directed along the positive y-axis and has magnitude sqrt 3.0 units. Vector B is directed along the negative x-axis and has a magnitude 1.0 units. (a) what are the magnitude and direction of A-B? (b) what are the x and y components of B-A?
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