Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
4. Proofs with Perpendicular Lines
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Exercise 33 Page 526

Think of a plane as an infinite number of adjacent lines. Then, the distance between a point and a plane is equivalent to the smallest distance between the point and a line on that plane.

Finding the distance between a line and a plane requires that the line runs parallel to the plane. Otherwise, the distance from the line to the plane will depend on the point on the line you choose as different points would have different distances from the plane.