The value of $\lambda$ for which the vectors $3\hat{i} - 6\hat{j} + \hat{k}$ and $2\hat{i} - 4\hat{j} + \lambda\hat{k}$ are parallel is

$\frac{2}{3}$

The correct answer is Option (1) → $\frac{2}{3}$ ##

Given, vectors $3\hat{i} - 6\hat{j} + \hat{k}$ and $2\hat{i} - 4\hat{j} + \lambda\hat{k}$ are parallel.

$\frac{3}{2} = \frac{-6}{-4} = \frac{1}{\lambda}$

$∴\lambda = \frac{2}{3}$