Question

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if a vector + vector = c vector and a square + b square equals to C square then prove that a vector and b vector are perpendicular to each other​

Answer 1

Given, A + B = C

there fore, (A+B). (A+B)=C.C

or, A^2 +2A.B+B^2=C^2

but, A^2+B^2=C^2

therefore, 2A.B=0

or, 2ABcos theta=0

cos theta = 0

theta = 90°

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Answer 2

Explanation:

Given, A + B = C

there fore, (A+B). (A+B)=C.C

or, A^2 +2A.B+B^2=C^2

but, A^2+B^2=C^2

therefore, 2A.B=0

or, 2ABcos theta=0

cos theta = 0

theta = 90.