(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
icon
Related questions
Question
(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
%3D
%D
-1
-3
-(x + 4) = 4(y – 4) = -3(z + 8).
X - 4
y + 4
z - 8
%3D
%3D
-1
4
-3
y + 4
z - 8
O x + 4 =
4
-3
-(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
Transcribed Image Text:(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 %3D %D -1 -3 -(x + 4) = 4(y – 4) = -3(z + 8). X - 4 y + 4 z - 8 %3D %3D -1 4 -3 y + 4 z - 8 O x + 4 = 4 -3 -(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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage