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45° with the line x=y-z=0 and 0 with the plane x = 0. T s 3 units. Find the value of 0 and the equation of the plane. 2x at for all values of λ and μ, the planes

45° with the line x=y-z=0 and 0 with the plane x = 0. T s 3 units. Find the value of 0 and the equation of the plane. 2x at for all values of λ and μ, the planes

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.1: The Coordinate Plane
Problem 34E: In these exercises we find the area of plane figures. Plot the points P(5,1),Q(0,6) and R(5,1) on a...
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Let a plane ax + by + cz + 1 = 0, where a, b and c are parameters, make an angle 60° with the line x=y=z, 45° with the line x=y=z=0 and 0 with the plane x = 0. The distance of the plane from point (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane. Prove that for all values of A and μ, the planes 2+2+2-1+2 2x y 2z 2 + ² + ²2-1 + 2( ² - 3 - 4 - 2) = 0 4x 3y 5y 4z a b b C +3=0 intersect on the same line.
Transcribed Image Text:Let a plane ax + by + cz + 1 = 0, where a, b and c are parameters, make an angle 60° with the line x=y=z, 45° with the line x=y=z=0 and 0 with the plane x = 0. The distance of the plane from point (2, 1, 1) is 3 units. Find the value of 0 and the equation of the plane. Prove that for all values of A and μ, the planes 2+2+2-1+2 2x y 2z 2 + ² + ²2-1 + 2( ² - 3 - 4 - 2) = 0 4x 3y 5y 4z a b b C +3=0 intersect on the same line.
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