Vectors and act in the same plane.

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Vectors

\mathbf{A}=5\hat{i}+12\hat{j}

and

\mathbf{B}=-3\hat{i}+4\hat{j}

act in the same plane. (a) Calculate a unit vector that is perpendicular to

(\mathbf{A}+\mathbf{B})

and directed clockwise from it. (b) Express the unit vector obtained in part (a) in polar form, stating its angle with the positive

x

-axis.