What is the area of a triangle whose two adjacent sides are represented by vectors and ?

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

Problem

What is the area of a triangle whose two adjacent sides are represented by vectors

\mathbf{a}

and

\mathbf{b}

? (a)

|\mathbf{a}\times\mathbf{b}|

(b)

\dfrac12\,|\mathbf{a}\times\mathbf{b}|

(c)

\dfrac12\,|\mathbf{a}|\,|\mathbf{b}|

(d)

\dfrac12\,|\mathbf{a}\cdot\mathbf{b}|