Vector Algebra Question 302

Question: The direction cosines of vector $ \mathbf{a}=3\mathbf{i}+4\mathbf{j}+5\mathbf{k} $ in the direction of positive axis of x, is

[MP PET 1991]

Options:

A) $ \pm \frac{3}{\sqrt{50}} $

B) $ \frac{4}{\sqrt{50}} $

C) $ \frac{3}{\sqrt{50}} $

D) $ -\frac{4}{\sqrt{50}} $

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Answer:

Correct Answer: C

Solution:

  • $ \frac{3}{\sqrt{3^{2}+4^{2}+5^{2}}}=\frac{3}{\sqrt{50}}. $