Vector Algebra Question 152

Question: If $ \mathbf{p}=7\mathbf{i}-2\mathbf{j}+3\mathbf{k} $ and $ \mathbf{q}=3\mathbf{i}+\mathbf{j}+5\mathbf{k}, $ then the magnitude of $ \mathbf{p}-2\mathbf{q} $ is

[MP PET 1987]

Options:

A) $ \sqrt{29} $

B) 4

C) $ \sqrt{62}-2\sqrt{35} $

D) $ \sqrt{66} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \mathbf{p}-2\mathbf{q}=\mathbf{i}-4\mathbf{j}-7\mathbf{k} $