Physics, asked by nikhil6854, 11 months ago

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If |A+B|=|A-B| what is the angle between a and b

Answers

Answered by mani12495
0

Answer:

Angle between a and b is 90

Explanation:

(A+b)^2= a^2+n^2+2abcostheta

Similay for a-b

Equate both you will get theta =90

Answered by surajchaudhary16
3

Answer:

A = |A|

B = |B|

|A + B| = √(A2 + B2 + 2ABcosθ)

|A - B| = √(A2 + B2 - 2ABcosθ)

|A + B| = |A - B| ⇒

√(A2 + B2 + 2ABcosθ) = √(A2 + B2 - 2ABcosθ)

Square both sides.

A2 + B2 + 2ABcosθ = A2 + B2 - 2ABcosθ

2ABcosθ = -2ABcosθ

If A ≠ 0 and B ≠ 0, then

cosθ = -cosθ ⇒

cosθ = 0 ⇒ θ = 90°

Explanation:

Hope itz help u✔

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