Consider the triangle T with points A = (1,0, 1), B= (1, 1, 2), C = (-1,2, 2). 1. Compute the area of T. 2. Find the scalar equation of the plane P containing the triangle T. 3. Consider L1: y +t0 L2 : y Is the line L1 in the plane P? Is the line L2 in the plane P? Justify your answers.

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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Consider the triangle T with points A = (1,0, 1), B = (1, 1, 2), C = (-1,2, 2).
1. Compute the area of T.
2. Find the scalar equation of the plane P containing the triangle T.
3. Consider
2
2
L1 :y
+t|0
L2 : y
=L01+t
1
Is the line L1 in the plane P? Is the line L2 in the plane P? Justify your answers.
Transcribed Image Text:Consider the triangle T with points A = (1,0, 1), B = (1, 1, 2), C = (-1,2, 2). 1. Compute the area of T. 2. Find the scalar equation of the plane P containing the triangle T. 3. Consider 2 2 L1 :y +t|0 L2 : y =L01+t 1 Is the line L1 in the plane P? Is the line L2 in the plane P? Justify your answers.
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