# Finding the coordinates of a point five units along the

Finding the coordinates of a point five units along the line perpendicular to a midpoint?
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Step 1
For a vector (a, b) the perpendicular direction is (-b, a) (this transformation turns left, multiply by -1 if you want to go the other way).
If you want to have a vector along direction (a, b) of length d, then calculate $\frac{d}{|\left(a,b\right)|}\left(a,b\right)$ (a, b) where $|v|$ is the length of v.