(a) Find symmetric equations for the line that passes through the point (4, -4, 8) and is parallel to the vector (-1, 4, -3). x + 4 y - 4 _ z + 8 -1 4 -3 -(x + 4) = 4(y - 4) = -3(z + 8). %3D y + 4 z - 8 %3D %3D 4 -3 x + 4 = Y+ 4 4 z - 8 %3D -3 O -(x - 4) = 4(y + 4) = -3(z – 8). (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz-plane
(a) Find symmetric equations for the line that passes through the point (4, -4, 8) and is parallel to the vector (-1, 4, -3). x + 4 y - 4 _ z + 8 -1 4 -3 -(x + 4) = 4(y - 4) = -3(z + 8). %3D y + 4 z - 8 %3D %3D 4 -3 x + 4 = Y+ 4 4 z - 8 %3D -3 O -(x - 4) = 4(y + 4) = -3(z – 8). (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz-plane
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 49EQ
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