Question

Let $\overrightarrow{a}=2\^i+7\^j−\^k ,\overrightarrow{b} =3\^i+5 \^k$ and $\overrightarrow{c}=\^i=\^j+2\^k$ . Let $\overrightarrow{d}$ be a vector which is perpendicular to both $\overrightarrow{a}$ and $\overrightarrow{b}$ , and $\overrightarrow{c}.\overrightarrow{d}=12$. Then $(-\^i+\^j=\^k).(\overrightarrow{c}\times\overrightarrow{d})$ is equal to

• A. 24
• B. 42
• C. 44
• D. 48

Answer 1

Answer: (C)

44

Answer 2

The correct option is(C): 44