Ask Me Help Desk - if a.b=0 then find the angle between two vectors

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if a.b=0 then find the angle between two vectors

if a.b=0 then find the angle between two vectors

For dot product of two vectors the following relationships are true:

$x . y = (x_{1}, x_{2},...) . (y_{1}, y_{2},...) = \sum {x_{1}y_{1} + x_{2}y_{2}+... = ||x|| ||y|| \cos{\theta}$

where $\theta$ is the angle between the vectors and $||a||$ is the length of the vector. Using $cos^{-1}$ and assuming non-zero length vectors you can deduce your answer.

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