1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line passing through the points B and C.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.1: The Coordinate Plane
Problem 57E
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Given points A(-3, 1,6), B(−2, 1, 3), C(-1,5,2), D(12, —2, −7). Find:
1. Equation of the plane passing through the points A, B, and C.
2. Equation of the straight line passing through the points B and C.
3. Equation of the straight line passing through the point D perpendicularly to the plane ABC
4. Distance from the point D to the plane ABC.
5. Distance from the point A to the straight line BC.
6. Distance between the straight lines BC and AD.
Transcribed Image Text:Given points A(-3, 1,6), B(−2, 1, 3), C(-1,5,2), D(12, —2, −7). Find: 1. Equation of the plane passing through the points A, B, and C. 2. Equation of the straight line passing through the points B and C. 3. Equation of the straight line passing through the point D perpendicularly to the plane ABC 4. Distance from the point D to the plane ABC. 5. Distance from the point A to the straight line BC. 6. Distance between the straight lines BC and AD.
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