What can be the maximum value of magnitude of ( a vector - B vector)

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Arun · Answer

Dear student Question is incomplete. Please check and repost the complete Question. You can also attach an image. I will be happy to help you. Regards Arun

Satwik Banchhor · Answer

Hey Debapriya, The problem can be solved as follows: |A - B| 2 = (A – B) . (A – B) = A.A – 2A.B + B.B = |A| 2 – 2 |A|*|B|*cos( θ) + |B| 2 which attains its maximum value when cos θ = -1 therefore, max( |A – B| 2 ) = |A| 2 + 2 |A|*|B| + |B| 2 = (|A| + |B|) 2 Therefore, max ( |A – B| ) = |A| + |B| , when cos θ = -1. Note: When cosθ = -1 then the two vectors point in opposite directions and that is when |A – B| attains its maximum value.

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What can be the maximum value of magnitude of ( a vector - B vector)

What can be the maximum value of magnitude of ( a vector - B vector)

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