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2015-09-10T19:06:35+05:30

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Vector A² = dot product of A with A =  | A |²
| A | is the magnitude of vector A.

\vec{A} + \vec{B} = \vec{R}

|R|² =  |A|² + | B |² + 2 | A | * |  B | * Cos θ
         where θ = angle between A and B.
As  |R|² = |A|² + |B|²,    Cos θ = 0    =>  θ = π/2

So the two vectors are perpendicular to each other.

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