Vector Algebra Question 212
Question: If the position vectors of P and Q are $ (\mathbf{i}+3\mathbf{j}-7\mathbf{k}) $ and $ (5\mathbf{i}-2\mathbf{j}+4\mathbf{k}), $ then $ |\overrightarrow{PQ}| $ is
[MP PET 2001, 03]
Options:
A) $ \sqrt{158} $
B) $ \sqrt{160} $
C) $ \sqrt{161} $
D) $ \sqrt{162} $
Show Answer
Answer:
Correct Answer: D
Solution:
- $ \overline{PQ}=(5-1)\mathbf{i}+(-2-3)\mathbf{j}+(4+7)\mathbf{k}=4\mathbf{i}-5\mathbf{j}+11\mathbf{k} $ $ |\overline{PQ}|=\sqrt{16+25+121}=\sqrt{162},. $
BETA
