What is a reasonable way to define the distance from a point to a plane? (As in Exercise 1, state your definition in words, and do not attempt to find a general formula.) Use your definition to find the distance from the point (−5, 2, 8) to the xy-, xz-, and yz-planes.
Exercise 1
In words (Do not try to obtain a general formula!), write a reasonable definition for the distance from a point to a line. Use your definition to find the distance from the point (6, 7, −6) to the x-, y-, and z-axes.
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