OnlineCBT
Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीGiven two vectors \( \mathbf{a} = 3\hat{i} - 4\hat{j} + 5\hat{k} \) and \( \mathbf{b} = -2\hat{i} + \hat{j} - 3\hat{k} \), the cross product \( \mathbf{a} \times \mathbf{b} \) is equal to:
Correct answer · Option 1
\( 7\hat{i} - \hat{j} - 5\hat{k} \)
Explanation
\( \mathbf{a} \times \mathbf{b} = \hat{i}[(-4)(-3) - (5)(1)] - \hat{j}[(3)(-3) - (5)(-2)] + \hat{k}[(3)(1) - (-4)(-2)] = 7\hat{i} - \hat{j} - 5\hat{k} \).
