Let and be unit vectors such that

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

Problem

Let

\vec{a}, \vec{b}

and

\vec{c}

be unit vectors such that

\vec{a} + \vec{b} - \vec{c} = 0

. If the area of triangle formed by vectors

\vec{a}

and

\vec{b}

A

, then what is the value of

16A^2