Use Exercise 71 to compute the orthogonal distance from the plane x + 2y + 3z =

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Use Exercise 71 to compute the orthogonal distance from the plane x + 2y + 3z = 5 to the origin.


Data From Exercise 71

In this exercise, we show that the orthogonal distance D from the plane P with equation ax + by + cz = d to the origin O is equal to (Figure 11)

D = |d| a + b + c

Let n = (a, b, c), and let P be the point where the line through the origin with direction vector n

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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