Let . If the area of the triangle having and as two of its sides is square units,…

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

\mathbf{c}=2\mathbf{a}+3\mathbf{b}

. If the area of the triangle having

\mathbf{a}

and

\mathbf{c}

as two of its sides is

10

square units, then the area of the parallelogram constructed on

\mathbf{a}

and

\mathbf{b}

as adjacent sides is (a)

20

(b)

\dfrac{20}{3}

(c)

\dfrac{10}{3}

(d)

\dfrac{40}{3}