Vector Algebra Question 35
Question: The position vectors of four points P, Q, R, S are $ 2\mathbf{a}+4\mathbf{c},, $ $ 5\mathbf{a}+3\sqrt{3},\mathbf{b}+4\mathbf{c}, $ $ -2\sqrt{3}\mathbf{b}+\mathbf{c} $ and $ 2\mathbf{a}+\mathbf{c} $ respectively, then
[MP PET 1997]
Options:
A) $ \overrightarrow{PQ} $ is parallel to $ \overrightarrow{RS} $
B) $ \overrightarrow{PQ} $ is not parallel to $ \overrightarrow{RS} $
C) $ \overrightarrow{PQ} $ is equal to $ \overrightarrow{RS} $
D) $ \overrightarrow{PQ} $ is parallel and equal to $ \overrightarrow{RS} $
Show Answer
Answer:
Correct Answer: A
Solution:
- $ \overrightarrow{PQ}=3\mathbf{a}+3\sqrt{3}\mathbf{b} $ and $ \overrightarrow{RS}=2\mathbf{a}+2\sqrt{3}\mathbf{b} $ Hence $ \overrightarrow{PQ},||,\overrightarrow{RS} $ .
BETA
