Get the distance between a point and vector (2D)

Determine the distance of point P and vector through points P1, P2

Distance point – vector

$dist = \dfrac{\left | (B_x - A_x) (P_y - A_y) - (B_y - A_y) (P_x - A_x) \right |}{||\overline{AB}||}$

This is a ‘2D cross product’ of $\overline{AB}$ and $\overline{AP}$ . Since the cross product is the parallelogram surface of the two vectors, dividing it by the length of $\overline{AB}$ to get the distance.

$\left\|\overline{AB}\right\| = \sqrt{(B_x - A_x)^2 + (B_y - A_y)^2}$

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Get the distance between a point and vector (2D)

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