Vector Algebra Question 394

Question: The vector $ \frac{1}{3},(2\mathbf{i}-2\mathbf{j}+\mathbf{k}) $ is

[IIT Screening 1994]

Options:

A) A unit vector

B) Makes an angle $ \frac{\pi }{3} $ with the vector $ 2i-4\mathbf{j}+3\mathbf{k} $

C) Parallel to the vector $ -\mathbf{i}+\mathbf{j}-\frac{1}{2}\mathbf{k} $

D) Perpendicular to the vector $ 3\mathbf{i}+2\mathbf{j}-2\mathbf{k} $

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Answer:

Correct Answer: D

Solution:

  • Check it with the options.