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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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