this question is from a linear algebra course: Given the plane V with the equation n · x = b, where n ≠ 0 is a normal vector of V. Let p be a point in space. Prove that the distance from p to V is given by the equation in the attached image

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 4E
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this question is from a linear algebra course: Given the plane V with the equation n · x = b, where n ≠ 0 is a normal vector of V. Let p be a point in space. Prove that the distance from p to V is given by the equation in the attached image: 

n.p - b
|n|
Transcribed Image Text:n.p - b |n|
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