NEETPhysics-Vectors

NEET Physics Vector Magnitude MCQ Question

Type: MCQ-conceptual-Medium

If vectors A\vec{A} and B\vec{B} are such that A+B=AB|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|, then AB|\vec{A} - \vec{B}| may be equated to

A

32A\frac{\sqrt{3}}{2} |\vec{A}|

B

A|\vec{A}|

C

2A\sqrt{2} |\vec{A}|

D

3A\sqrt{3} |\vec{A}|

Correct Answer

Option B

Detailed Explanation

The condition A+B=AB|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}| implies that the vectors A\vec{A} and B\vec{B} are perpendicular. Therefore, AB=A|\vec{A} - \vec{B}| = |\vec{A}|.

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