:) Find symmetric equations for the line that passes through the point (2, –-5, 9) and is parallel to the vector (-1, 3, -3 -(x + 2) = 3(y - 5) = -3(z + 9). -(x - 2) = 3(y + 5) = -3(z - 9). O x + 2 = y + 5 z - 9 -3 X - 2 y + 5 z - 9 %3D -1 -3 x + 2 y- 5 z + 9 -1 3 -3 ) Find the points in which the required line in part (a) intersects the coordinate planes. pint of intersection with xy-plane pint of intersection with yz-plane pint of intersection with xz-plane

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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:) Find symmetric equations for the line that passes through the point (2, –-5, 9) and is parallel to the vector (-1, 3, -3
-(x + 2) = 3(y - 5) = -3(z + 9).
-(x - 2) = 3(y + 5) = -3(z - 9).
O x + 2 =
y + 5
z - 9
-3
X - 2
y + 5
z - 9
%3D
-1
-3
x + 2
y- 5
z + 9
-1
3
-3
) Find the points in which the required line in part (a) intersects the coordinate planes.
pint of intersection with xy-plane
pint of intersection with yz-plane
pint of intersection with xz-plane
Transcribed Image Text::) Find symmetric equations for the line that passes through the point (2, –-5, 9) and is parallel to the vector (-1, 3, -3 -(x + 2) = 3(y - 5) = -3(z + 9). -(x - 2) = 3(y + 5) = -3(z - 9). O x + 2 = y + 5 z - 9 -3 X - 2 y + 5 z - 9 %3D -1 -3 x + 2 y- 5 z + 9 -1 3 -3 ) Find the points in which the required line in part (a) intersects the coordinate planes. pint of intersection with xy-plane pint of intersection with yz-plane pint of intersection with xz-plane
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