A plane P1 in R³is perpendicular to the vector n = (3, 1, 3), and contains the point (-3, -6, -3). a. Find the scalar equation of the plane P1. Equation: b. Is the point (1,0,6) on the plane? No Yes c. Write a scalar equation of the plane P2 that is parallel to P₁ and passing though the point (2,0,8) Equation:
A plane P1 in R³is perpendicular to the vector n = (3, 1, 3), and contains the point (-3, -6, -3). a. Find the scalar equation of the plane P1. Equation: b. Is the point (1,0,6) on the plane? No Yes c. Write a scalar equation of the plane P2 that is parallel to P₁ and passing though the point (2,0,8) Equation:
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 9E
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A plane P1 in R3 is perpendicular to the vector n = (3, 1, 3), and contains the point (-3, -6, -3).
Transcribed Image Text:A plane P1 in R³is perpendicular to the vector n = (3, 1, 3), and contains the point (-3, -6, -3).
a. Find the scalar equation of the plane P1.
Equation:
b. Is the point (1,0,6) on the plane?
No
Yes
c. Write a scalar equation of the plane P2 that is parallel to P₁ and passing though the point (2,0,8)
Equation:
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