Vector Algebra Question 382

Question: The vector $ 2,\mathbf{i}+\mathbf{j}-\mathbf{k} $ is perpendicular to $ \mathbf{i}-4\mathbf{j}+\lambda \mathbf{k}, $ if $ \lambda = $

[MNR 1983; MP PET 1988]

Options:

A) 0

B) ? 1

C) ? 2

D) ? 3

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \mathbf{a}.\mathbf{b}=(2-4-\lambda )=0\Rightarrow \lambda =-2. $