Question

If A + B = C and A^2 + B^2 = C^2, then prove that A and B are perpendicular to each other. using properties of vectors

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Answer 1

Answer:

Given that

vector a + vector b = vector c

Which means

C^2 = A^2 + B^2 + 2 A B cosx

Where x is the angle between vector a & vector b

But it is given that

A^2+B^2= C^2

Thus

C^2 = C^2 + 2 A B cosx

2A B cosx = 0

A &B are not zero therefore

Cosx = 0

X = 90 degree

Answer 2

Answer: Given that

vector a + vector b = vector c

Which means

C^2 = A^2 + B^2 + 2 A B cosx

Where x is the angle between vector a & vector b

But it is given that

A^2+B^2= C^2

Thus

C^2 = C^2 + 2 A B cosx

2A B cosx = 0

A &B are not zero therefore

Cosx = 0

X = 90 degree

Thanks

Explanation:

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