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if vector a and vector b are two vectors then the value of (a+b)*(a-b) |
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Answer» Two vectors are a and b. (a+b) × (a-b) = a×a+b×a-a×b-b×b. (Distributive Law) (a+b) × (a-b) = 0+b×a + b×a-0. (a×b) = -(b×a). (a+b) x (a-b) = 2*b×a. b×a = |b|*|a|*sin(∆). Where, ∆ is angle between b and a. Hence, (a+b) × (a-b) = 2*|b|*|a|*sin(∆). |
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