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NEETPhysics-Vectors

NEET Physics Vector Magnitude MCQ Question

Type: MCQ-conceptual-Medium

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

A

32∣A⃗∣\frac{\sqrt{3}}{2} |\vec{A}|

B

∣A⃗∣|\vec{A}|

C

2∣A⃗∣\sqrt{2} |\vec{A}|

D

3∣A⃗∣\sqrt{3} |\vec{A}|

Correct Answer

Option B

Detailed Explanation

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

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