Let and . The vector component of along…

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

Problem

Let

\mathbf{a}=2\hat{i}+\hat{j}+2\hat{k}

and

\mathbf{b}=6\hat{i}-2\hat{j}+3\hat{k}

. The vector component of

\mathbf{b}

along

\mathbf{a}

is (a)

\dfrac{96}{49}\hat{i}-\dfrac{32}{49}\hat{j}+\dfrac{48}{49}\hat{k}

(b)

\dfrac{16}{9}\hat{i}-\dfrac{8}{9}\hat{j}+\dfrac{16}{9}\hat{k}

(c)

\dfrac{32}{9}\hat{i}+\dfrac{16}{9}\hat{j}+\dfrac{32}{9}\hat{k}

(d)

\dfrac{8}{3}\hat{i}+\dfrac{4}{3}\hat{j}+\dfrac{8}{3}\hat{k}