OnlineCBT
Physics · MOTION IN A PLANE
हिन्दीGiven two vectors \( \mathbf{A} = 5\hat{i} + 8\hat{j} \) and \( \mathbf{B} = 2\hat{i} + 4\hat{j} \), the magnitude of the vector difference \( \mathbf{R} = \mathbf{A} - \mathbf{B} \) is equal to:
Correct answer · Option 4
\( 5 \)
Explanation
\( \mathbf{R} = \mathbf{A} - \mathbf{B} = (5-2)\hat{i} + (8-4)\hat{j} = 3\hat{i} + 4\hat{j} \). Magnitude \( |\mathbf{R}| = \sqrt{3^2 + 4^2} = 5 \).
