The value of a unit vector in the direction of vector \(\ma…

Physics Vectors Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

The value of a unit vector in the direction of vector \(\mathbf{A} = 5\hat{i} - 12\hat{j},\) is

\hat{i}

\hat{j}

\(\frac{\hat{i} + \hat{j}}{13}\)

\(\frac{(5\hat{i} - 12\hat{j})}{13}\)

Text Solution

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The correct answer is:

\vec{A} = 5\hat{i} + 12\hat{j} , \(|\vec{A}| = \sqrt{5^{2} + (-12)^{2}}\) = \(\sqrt{25 + 144} = 13\)

Unit vector \(\hat{A} = \frac{\vec{A}}{|\vec{A}|} = \frac{5\hat{i} - 12\hat{j}}{13}\)

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