- The position vectors of are and

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

Problem

- The position vectors of

A, B, C, D

are

\mathbf{a}, \mathbf{b}, 2\mathbf{a} + 3\mathbf{b}

and

\mathbf{a} - 2\mathbf{b}

, respectively. Show that

\mathbf{DB} = 3\mathbf{b} - \mathbf{a}

and

\mathbf{AC} = \mathbf{a} + 3\mathbf{b}