Kinematics Question 137

Question: A vector is represented by $ 3\hat{i}+\hat{j}+2\hat{k} $ . it’s length in XY plane is [EAMCET (Engg.) 1994]

Options:

A) 2

B) $ \sqrt{14} $

C) $ \sqrt{10} $

D) $ \sqrt{5} $

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Answer:

Correct Answer: C

Solution:

$ \vec{R}=3\hat{i}+\hat{j}+2\hat{k} $

Length in XY plane = $ \sqrt{R_x^{2}+R_y^{2}}=\sqrt{3^{2}+1^{2}} $

$ =\sqrt{10} $



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