For any vectors

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

Problem

For any vectors

\mathbf{a},\mathbf{b}

|\mathbf{a}\times\mathbf{b}|^2+(\mathbf{a}\cdot\mathbf{b})^2

is equal to (1)

|\mathbf{a}|^2|\mathbf{b}|^2

(2)

|\mathbf{a}+\mathbf{b}|

(3)

|\mathbf{a}|^2-|\mathbf{b}|^2

(4)

0