(a) Find a vector perpendicular to the plane that contains the points P(1, 0, 0), Q(2, 0, –1), and R(1, 2, 4). (b) Find an equation for the plane that contains P, Q, and R. (Let x, y, and z denote the standard coordinate variables.) (c) Find the area of triangle PQR.

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 1E
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(a) Find a vector perpendicular to the plane that contains the points P(1, 0, 0), Q(2, 0, -1), and R(1, 2, 4).
(b) Find an equation for the plane that contains P, Q, and R. (Let x, y, and z denote the standard coordinate variables.)
(c) Find the area of triangle PQR.
Transcribed Image Text:(a) Find a vector perpendicular to the plane that contains the points P(1, 0, 0), Q(2, 0, -1), and R(1, 2, 4). (b) Find an equation for the plane that contains P, Q, and R. (Let x, y, and z denote the standard coordinate variables.) (c) Find the area of triangle PQR.
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