Question

Find the value of 'p' for which the vectors $\overrightarrow{a}=3\hat{i}+2\hat{j}+9\hat{k}$ and $\overrightarrow{b}=\hat{i}+p\hat{j}+3\hat{k}$ are parallel.

Answer 1

$\overrightarrow{a}=3\hat{i}+2\hat{j}+9\hat{k}$

$\overrightarrow{b}=\hat{j}+p\hat{j}+3\hat{k}$

$\frac{3}{1}=\frac{2}{p}=\frac{9}{3}$

$\frac{3}{1}=\frac{2}{p}$

$p=\frac{2}{3}$