Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

Cross product of A × B with Sin (θ) would produce results equal to
Options
A A·B
B A × B
Correct Answer
C AB
D A
Correct Answer

Option B is the correct answer.

Detailed Explanation

The magnitude of the cross product is |A × B| = |A| |B| sin θ. So sin θ is already part of the cross product. Multiplying the cross product by sin θ would give |A| |B| sin² θ in the direction perpendicular to A and B, which is not a standard operation. However, the question likely means that the cross product itself involves sin θ. The expression A × B with sin θ is redundant because sin θ is already included. So the result is still A × B.

Hint

Recall that the magnitude of the cross product depends on sin θ.

Question Info