Physics · MOTION IN A PLANE
हिन्दीWhich of the following represents the unit vector \( \hat{n} \) in the direction of vector \( \mathbf{A} = 6\hat{i} + 8\hat{j} \)?
Correct answer · Option 3
\( 0.6\hat{i} + 0.8\hat{j} \)
Explanation
\( |\mathbf{A}| = \sqrt{6^2 + 8^2} = 10 \). Thus, \( \hat{n} = \frac{\mathbf{A}}{|\mathbf{A}|} = \frac{6\hat{i} + 8\hat{j}}{10} = 0.6\hat{i} + 0.8\hat{j} \).