Question

True-or-False: If ∣→a+→b∣=∣→a−→b∣,then the vectors →a and →b are orthogonal.

Answer 1

Answer:

It's true

Step-by-step explanation:

|a vector+b vector|=a^2+b^2+2ab cos theta

if we subtract it,we get a^2+b^2+2ab cos(180°- theta)

if these are equal then,

2ab cos theta=2ab cos (180°- theta)

so, vectors are orthogonal

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