Question

If $\overrightarrow{A} = 2\widehat{i} + 3\widehat{j} - \widehat{k}$ and $\overrightarrow{B} = - \widehat{i} + 3\widehat{j} + 4\widehat{k}$, then projection of $\overrightarrow{A}$ on $\overrightarrow{B}$ will be –

• A. (a)$\frac{3}{\sqrt{13}}$
• A. (b)$\frac{3}{\sqrt{26}}$
• A. (c)$\sqrt{\frac{3}{26}}$
• A. (d)$\sqrt{\frac{3}{13}}$

Answer 1

(b)

Projection of $\overrightarrow{A}$on$\overrightarrow{B}$ = $\frac{\overrightarrow{A}.\overrightarrow{B}}{B} = \frac{3}{\sqrt{26}}$