b) Obtain the equation of a plane, P that is orthogonal to the line L:x=1+4, y=8+1, z =9+9t_and goes through a point H(4 2, 7). Hence, determine if plane P, and plane P, given as 4x-6y-2z=-8 are parallel, perpendicular or neither. If parallel, find the shortest distance between the planes. If neither, find the angle between the planes.
b) Obtain the equation of a plane, P that is orthogonal to the line L:x=1+4, y=8+1, z =9+9t_and goes through a point H(4 2, 7). Hence, determine if plane P, and plane P, given as 4x-6y-2z=-8 are parallel, perpendicular or neither. If parallel, find the shortest distance between the planes. If neither, find the angle between the planes.
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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