Serway & Jewett — Vectors: Problem 14

Given the vectors \(\vec{A} = 2.00\hat{i} + 6.00\hat{j}\) and \(\vec{B} = 3.00\hat{i} - 2.00\hat{j}\), (a) draw the vector sum \(\vec{C} = \vec{A} + \vec{B}\) and the vector difference \(\vec{D} = \vec{A} - \vec{B}\). (b) Calculate \(\vec{C}\) and \(\vec{D}\), in terms of unit vectors. (c) Calculate \(\vec{C}\) and \(\vec{D}\) in terms of polar coordinates, with angles measured with respect to the positive x axis.