Vector Algebra Question 393

Question: If $ \mathbf{a}=2\mathbf{i}+4\mathbf{j}+2\mathbf{k} $ and $ \mathbf{b}=8\mathbf{i}-3\mathbf{j}+\lambda \mathbf{k} $ and $ \mathbf{a},\bot ,\mathbf{b}, $ then value of $ \lambda $ will be

[RPET 1995]

Options:

A) 2

B) ? 1

C) ? 2

D) 1

Show Answer

Answer:

Correct Answer: C

Solution:

  • Clearly, $ 8\times 2-3\times 4+2\times \lambda =0\Rightarrow \lambda =-2. $