The diagonals of a parallelogram are given by and

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The diagonals of a parallelogram are given by

\vec{a} = 2\hat{i} - \hat{j} + \hat{k}

and

\vec{b} = \hat{i} + 3\hat{j} - \hat{k}

. Find the area of the parallelogram.