Answer to Question #290157 in Physics for Obama

Question

The displacement vectors A and B, when added together, give the resultant vector R, so that R = A + B. Use the data in the drawing and the fact that φ = 23° to find the magnitude R of the resultant vector and the angle theta that it makes with the +x axis.

Answer 1

The magnitude of the resultant vector R can be found by the following expression:

$$|\vec R|=|\vec A|·|\vec B|\cos\phi=0.921|\vec A||\vec B|.$$