Kinematics Question 438

Question: If a unit vector is represented by $ 0.5\hat{i}+0.8\hat{j}+c\hat{k}, $ then the value of c is

Options:

A) 1

B) $ \sqrt{0.11} $

C) $ \sqrt{0.01} $

D) $ \sqrt{0.39} $

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Answer:

Correct Answer: B

Solution:

[b] $ \sqrt{{{(0.5)}^{2}}+{{(0.8)}^{2}}+{{(c)}^{2}}}=1 $
$ \therefore $ $ c^{2}=0.11 $ or $ c=\sqrt{0.11} $



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