Let , and , where , and are non-collinear points. Let denote the area of…

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

Problem

Let

\mathbf{OA} = \mathbf{a}

\mathbf{OB} = 10\mathbf{a} + 2\mathbf{b}

and

\mathbf{OC} = \mathbf{b}

, where

O

A

and

C

are non-collinear points. Let

p

denote the area of quadrilateral

OACB

, and let

q

denote the area of parallelogram with

\mathbf{OA}

and

\mathbf{OC}

as adjacent sides. If

p = kq

, find the numerical value of

k