Question

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Prove that A+B=rootA^2+B^2 .If A& B are perpendicular to each other .

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Answer 1

Explanation:

formula : A+B = √ A^2 + B^2 + 2AB COS• , • is the angle between A and B

.... so, on putting the value of • as 90°

A+B becomes √ A^2 + B^2

Answer 2

Explanation:

A+B = √ A^2 + B^2 +2ABCOS€

HERE, PUT THE VALUE OF {€= 90°}

BECAUSE BOTH THE VECTOR ARE PERPENDICULAR TO EACH OTHER.

SO, COS90°= 0,

THAN, A+B = √A^2+B^2 ( proved).