Question

Let a =$\^i+4\^j​+2\^k,b=3\^i−2\^j​+7\^k \,\,\,\,and\,\,\\.\ c=2\^i−\^j​+4\^k$. Find a vector d satisfies $\overrightarrow{d}\times{\overrightarrow{b}}=\overrightarrow{c}\times{\overrightarrow{b}}$ and $\overrightarrow{d}.\overrightarrow{a}=24$, then $|\overrightarrow{d}|^2$ is equal to

• A. 323
• B. 313
• C. 423
• D. 413

Answer 1

Answer: (D)

413

Answer 2

The correct option is(D): 413