Three dimensions: Lines and Planes, distance from a point to a line. Ex 12.5.21. Find the distance from (2,2,2) to x + y + z = -1.  The final anwser is 7/sqrt(3) but I'm not sure how you get there. Also, this is not part of a graded assignment, it is a textbook problem that I'm going over to help my studying. Thank you for your time and help.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
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Three dimensions: Lines and Planes, distance from a point to a line.

Ex 12.5.21. Find the distance from (2,2,2) to x + y + z = -1. 

The final anwser is 7/sqrt(3) but I'm not sure how you get there. Also, this is not part of a graded assignment, it is a textbook problem that I'm going over to help my studying. Thank you for your time and help. 

 

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