3. Let U be the plane defined by z-y+2z=0. (a) Find the line , that contains point T(4,0, 4) and is perpendicular to the plane U. (b) Find the coordinates of the intersection of the line and the plane U. (c) Determine the coordinates of the point A, that lies on the line and is equidistant from T and U. Also, determine this distance.
3. Let U be the plane defined by z-y+2z=0. (a) Find the line , that contains point T(4,0, 4) and is perpendicular to the plane U. (b) Find the coordinates of the intersection of the line and the plane U. (c) Determine the coordinates of the point A, that lies on the line and is equidistant from T and U. Also, determine this distance.
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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