Let P be a plane with equation ax + by + cz = d and normal vector
Question:
Let P be a plane with equation ax + by + cz = d and normal vector n = (a, b, c). For any point Q, there is a unique point P on P that is closest to Q, and is such that PQ is orthogonal to P(Figure 12).
Show that the point P on P closest to Q is determined by the equation
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