Formula of (A vector + B vector).(A vector-B vector)

Question

Arun · Answer

Dear student This is simply dot product. it can be expanded as A.A -A.B + B.A – B.B = B.A – A.B Hope it helps Regards Arun

Saurabh Koranglekar · Answer

Satwik Banchhor · Answer

Hey Ramana, This problem can be solved using the following properties of dot product of vectors :- Distributive Property : A.(B+C) = A.B + A.C Commutative Property: A.B = B.A A.A = |A| 2 (A + B) . (A – B) = A . (A – B) + B . (A – B) Using Distributive Property = A.A – A.B + B.A – B.B Using Distributive Property = A.A – B.B As A.B = B.A by Commutative Property = |A| 2 – |B| 2

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Formula of (A vector + B vector).(A vector-B vector)

Formula of (A vector + B vector).(A vector-B vector)

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