OnlineCBT
Physics · MOTION IN A PLANE
हिन्दीGiven two vectors \( \mathbf{A} = 2\hat{i} + 3\hat{j} - \hat{k} \) and \( \mathbf{B} = \hat{i} - \hat{j} + 5\hat{k} \), the magnitude of their resultant vector \( \mathbf{R} = \mathbf{A} + \mathbf{B} \) is:
Correct answer · Option 1
\( \sqrt{29} \)
Explanation
\( \mathbf{R} = (2+1)\hat{i} + (3-1)\hat{j} + (-1+5)\hat{k} = 3\hat{i} + 2\hat{j} + 4\hat{k} \). Magnitude \( |\mathbf{R}| = \sqrt{3^2 + 2^2 + 4^2} = \sqrt{9 + 4 + 16} = \sqrt{29} \).
