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Given a plane 7, is orthogonal to line x-3=y =-z and goes through a point (-2, 4,1). Find the equation of plane z,. Then, determine the equation of the line that are parallel to the line of intersection between plane z, and plane a:2x-y+ 3z =1 that pass through (2, 4,5). Hence, find the angle between the planes (give your answer in degree) and draw the planes and its angle.

Given a plane 7, is orthogonal to line x-3=y =-z and goes through a point (-2, 4,1). Find the equation of plane z,. Then, determine the equation of the line that are parallel to the line of intersection between plane z, and plane a:2x-y+ 3z =1 that pass through (2, 4,5). Hence, find the angle between the planes (give your answer in degree) and draw the planes and its angle.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(b) Given a plane a, is orthogonal to line x– 3= y =-z and goes through a point (-2,4,1). Find the equation of plane z,. Then, determine the equation of the line that are parallel to the line of intersection between plane a, and plane n,:2x-y+3z=1 that pass through (2, 4, 5). Hence, find the angle between the planes (give your answer in degree) and draw the planes and its angle.
Transcribed Image Text:(b) Given a plane a, is orthogonal to line x– 3= y =-z and goes through a point (-2,4,1). Find the equation of plane z,. Then, determine the equation of the line that are parallel to the line of intersection between plane a, and plane n,:2x-y+3z=1 that pass through (2, 4, 5). Hence, find the angle between the planes (give your answer in degree) and draw the planes and its angle.
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