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What can be the maximum value of magnitude of ( a vector - B vector)
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. RegardsArun
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|2which attains its maximum value when cosθ = -1 therefore,max( |A – B|2 ) = |A|2 + 2 |A|*|B| + |B|2 = (|A| + |B|)2Therefore,max ( |A – B| ) = |A| + |B| , when cosθ = -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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