Question

If two vectors $2\hat{i}+3\hat{j}+3\hat{k}$ and $-4\hat{i}-6\hat{j}+\lambda \hat{k}$ are parallel to each other then value of $\lambda$ is

• A. $-6$
• B. $-2$
• C. $-3$
• D. $-4$

Answer 1

The correct option is A $-6$

For the two vectors $2\hat{i}+3\hat{j}+3\hat{k}$ and $-4\hat{i}+-6\hat{j}+\lambda \hat{k}$ to be parallel

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

$\lambda =-6$