For any vector

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

Problem

For any vector

\mathbf{a}

, the value of

(\mathbf{a} \times \hat{i})^2 + (\mathbf{a} \times \hat{j})^2 + (\mathbf{a} \times \hat{k})^2

is equal to (1)

4\mathbf{a}^2

(2)

2\mathbf{a}^2

(3)

\mathbf{a}^2

(4)

3\mathbf{a}^2