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.
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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 19EQ
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