Find an equation of the plane that passes through the point Po(-2,-1,3) with a normal vector n = (1, 1, 1). ... The equation of the plane that passes through the point Po(-2,-1,3) with a normal vector n= (1, 1, 1) is x-y+z=0 (Type an equation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find an equation of the plane that passes through the point Po(-2,- 1,3) with a normal vector n = (1, − 1, 1).
The equation of the plane that passes through the point Po(-2,-1,3) with a normal vector n = (1,-1, 1) is x-y+z=0
(Type an equation.)
Transcribed Image Text:Find an equation of the plane that passes through the point Po(-2,- 1,3) with a normal vector n = (1, − 1, 1). The equation of the plane that passes through the point Po(-2,-1,3) with a normal vector n = (1,-1, 1) is x-y+z=0 (Type an equation.)
Expert Solution
Step 1: Given the information

The plane that passes through P subscript 0 open parentheses negative 2 comma negative 1 comma 3 close parentheses with a normal vector n equals open angle brackets 1 comma space minus 1 comma space 1 close angle brackets.

The aim is to find the equation of the plane.

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