Kinematics Question 274

Question: The vector $ \overrightarrow{P}=a\hat{i}+a\hat{j}+3\hat{k} $ and $ \overrightarrow{Q}=a\hat{i}-2\hat{j}-\hat{k} $ are perpendicular to each other. The positive value of a is [AFMC 2000; AIIMS 2002]

Options:

A) 3

B) 4

C) 9

D) 13

Show Answer

Answer:

Correct Answer: A

Solution:

$ \bar{P}.\bar{Q}=0 $

$ a^{2}-2a-3=0 $ therefore $ a=3 $



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