# Mark against the correct answer in each of the following:

Question:

Mark $(\sqrt{)}$ against the correct answer in each of the following:

If the volume of a parallelepiped having $\vec{a}=(5 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}+\hat{\mathrm{k}}), \overrightarrow{\mathrm{b}}=(4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\lambda \hat{\mathrm{k}})$ $\overrightarrow{\mathrm{c}}=(\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+7 \hat{\mathrm{k}})$ as conterminous edges, is 216 cubic units then the value of $\lambda$ is

A. $\frac{5}{3}$

B. $\frac{4}{3}$

C. $\frac{2}{3}$

D. $\frac{1}{3}$

Solution: