Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given by the following equation. 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Tutorial Exercise
Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given by the
following equation.
- 4
2
Step 1
Let the direction vector of the line be u = (p, q, r). To find u and a second point on the line, compare the
z - z1
y - 4
- X1
У - У1
X - X
equation of the line
= z with the standard form of the equation
-1
r
(x1, Y1, Zq) = (
, 4,
,-1, 1)
u =
Transcribed Image Text:Tutorial Exercise Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given by the following equation. - 4 2 Step 1 Let the direction vector of the line be u = (p, q, r). To find u and a second point on the line, compare the z - z1 y - 4 - X1 У - У1 X - X equation of the line = z with the standard form of the equation -1 r (x1, Y1, Zq) = ( , 4, ,-1, 1) u =
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