How do you find the distance from a point to a line in 3 spaces?
The perpendicular distance between a point and a line is the shortest distance between these two objects. In three dimensions, the perpendicular distance, 𝐷 , between a point 𝑃 ( 𝑥 , 𝑦 , 𝑧 ) and a line with direction vector ⃑ 𝑑 is given by 𝐷 = ‖ ‖ 𝐴 𝑃 × ⃑ 𝑑 ‖ ‖ ‖ ‖ ⃑ 𝑑 ‖ ‖ , where 𝐴 is any point on the line.