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9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal vector n = (-2,5,-3) going through the point P(2,3,-2). b. Determine the Cartesian equation of such a plane. 10. a. Determine the Cartesian equation of the plane that has x-, y-, and --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.

9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal vector n = (-2,5,-3) going through the point P(2,3,-2). b. Determine the Cartesian equation of such a plane. 10. a. Determine the Cartesian equation of the plane that has x-, y-, and --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.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal vector n = (-2,5,-3) going through the point P(2,3,-2). b. Determine the Cartesian equation of such a plane. 10. a. Determine the Cartesian equation of the plane that has x-, y-, and -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:9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal vector n = (-2,5,-3) going through the point P(2,3,-2). b. Determine the Cartesian equation of such a plane. 10. a. Determine the Cartesian equation of the plane that has x-, y-, and -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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