Browse Questions

Find the value of 'P' for which the vectors $3 \hat i + 2 \hat j + 2 \hat k$ and $\hat i - 2P \hat j + 3 \hat k$ are parallel.

$(a)\; \large\frac{1}{4} \qquad(b)\;- \large\frac{1}{5}\qquad(c)\;-\large\frac{1}{3}\qquad(d)\;\large\frac{1}{7}$

Let $\overrightarrow a = 3 \hat i + 2 \hat j + 9 \hat k$
$\overrightarrow a$ is parallel to $\hat i - 2p\hat j + 3 \hat k$
$\therefore \large\frac{1}{3}$$= \large\frac{-2p}{p}$$ = \large\frac{3}{9}$
$\Rightarrow \large\frac{1}{3}$$= -p \: or \: p = -\large\frac{1}{3}$