a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3 respectively. b. Determine the Cartesian equation of the plane that passes through the origin and is parallel to the plane in part a. c. Determine the vector equation of the line of intersection of the plane in part b. and the xy-plane.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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Determine the Cartesian Equation

3.
a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3
respectively.
b. Determine the Cartesian equation of the plane that passes through the origin and is parallel to the plane
in part a.
c. Determine the vector equation of the line of intersection of the plane in part b. and the xy-plane.
Transcribed Image Text:3. a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3 respectively. b. Determine the Cartesian equation of the plane that passes through the origin and is parallel to the plane in part a. c. Determine the vector equation of the line of intersection of the plane in part b. and the xy-plane.
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