InterviewSolution
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InterviewSolution
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If for two vectors `hat(A)` and `hat(B)`,sum `(vec(A)+vec(B))` is perpendicular to the diffrence `(vec(A)-vec(B))`. Find the ratio of their magnitude. |
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Answer» `(vec(A)+vec(B))` is perpendiucar to `(vec(A)-vec(B))` Thus `(vec(A)+vec(B)).(vec(A)-vec(B))=0` or `A^(2)+vec(B).vec(A)-vec(A).vec(B)-B^(2)=0` Because of commutative property of dot produce `vec(A).vec(B)=vec(B).vec(A)` `:. A^(2)-B^(2)` or `A=B` Thus, the ratio of magnitudes `A//B=1` |
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