Vectors Question 137

Question: The angle between two vectors $ -2\hat{i}+3\hat{j}+\hat{k} $ and $ \hat{i}+2\hat{j}-4\hat{k} $ is

[EAMCET 1990]

Options:

A) 0°

B) 90°

C) 180°

D) None of the above

Show Answer

Answer:

Correct Answer: B

Solution:

$ \cos \theta =\frac{\vec{A}.\vec{B}}{|\vec{A}||\vec{B}|}=\frac{-2+6-4}{\sqrt{14}\sqrt{21}}=0 $ \ $ \theta =90{}^\circ $



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