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Vectors

Question

Statement I : If  |A+B|=|AB|,  thenangle  betweenAand  Bis  900

Statement II : A+B=B+A

Moderate
Solution

|A+B|=|AB|

A2+B2+2ABcosθ = A2+B2-2ABcosθ

Hence cosθ = 0 which gives θ = 900

Also vector addition is commutative.

Hence A+B=B+A



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