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4) Consider a plane P that contains the points A(1, 6, 4), B (5, 5, -2), and C(0, -5,-4). a. Write the equations of lines AB and AC. b. What is the equation of plane P? c. What is the acute angle between plane P and the z-axis? d. Find the equations of the two parallel planes that are distance 3 away from plane P.

4) Consider a plane P that contains the points A(1, 6, 4), B (5, 5, -2), and C(0, -5,-4). a. Write the equations of lines AB and AC. b. What is the equation of plane P? c. What is the acute angle between plane P and the z-axis? d. Find the equations of the two parallel planes that are distance 3 away from plane P.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.2: Points, Lines, And Their Graphs
Problem 46WE
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4) Consider a plane P that contains the points A(1, 6, 4), B (5, 5, —2), and C (0,–5,-4). a. Write the equations of lines AB and AC. b. What is the equation of plane P? c. What is the acute angle between plane P and the z-axis? d. Find the equations of the two parallel planes that are distance 3 away from plane P.
Transcribed Image Text:4) Consider a plane P that contains the points A(1, 6, 4), B (5, 5, —2), and C (0,–5,-4). a. Write the equations of lines AB and AC. b. What is the equation of plane P? c. What is the acute angle between plane P and the z-axis? d. Find the equations of the two parallel planes that are distance 3 away from plane P.
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