Concept explainers
To find: The equation of the plane.
Answer to Problem 32E
The equation of the plane is
Explanation of Solution
Given information:
The given equation is
Calculation:
Calculate the normal
The vector
Using the initial point
Using the initial point
The cross product of the two vectors
Calculate the cross product
Expending the above determinant along first row,
Thus, the normal vector to the plane is
Therefore , taking
On remove the parentheses on the left hand side of the equation ,
On transpose the constant term to the right hand side of the equation ,
Therefore, the equation for the plane that crosses the
Therefore, the equation of the plane is
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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