P and Q have position vectors and relative to the origin O and X, Y divide PQ…

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

Problem

P and Q have position vectors

\mathbf{a}

and

\mathbf{b}

relative to the origin O and X, Y divide PQ internally and externally respectively in the ratio 2 : 1. Vector XY is

\lambda\mathbf{a} + \mu\mathbf{b}

, then the value of

|\lambda + \mu|