Vector Algebra Question 213

Question: The position vectors of two points A and B are $ \mathbf{i}+\mathbf{j}-\mathbf{k} $ and $ 2\mathbf{i}-\mathbf{j}+\mathbf{k} $ respectively. Then $ |\overrightarrow{AB}|= $

[BIT Ranchi 1992]

Options:

A) 2

B) 3

C) 4

D) 5

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \overrightarrow{AB}=\mathbf{i}-2\mathbf{j}+2\mathbf{k}\Rightarrow |\overrightarrow{AB}|=3. $