How do you find the distance from a point to a plan?

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1010005

2026-04-27 18:25

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To find the distance from a point to a plane, you can use the formula ( d = \frac{|Ax_0 + By_0 + Cz_0 + D|}{\sqrt{A^2 + B^2 + C^2}} ), where ( Ax + By + Cz + D = 0 ) is the equation of the plane, and ( (x_0, y_0, z_0) ) are the coordinates of the point. This formula calculates the perpendicular distance from the point to the plane by substituting the point's coordinates into the plane's equation and normalizing it by the plane's normal vector's magnitude.

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