(a) 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). %3D -(x - 2) = 3(y + 5) = -3(z - 9). %3D X + 2 = Y + 5 3 z - 9 -3 X - 2 y + 5 z - 9 %3D -1 3 -3 X + 2 y – 5 z + 9 -3 -1 (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 (2, -5, 9) and is parallel to the vector (-1, 3, -3) -(x + 2) = 3(y - 5) = -3(z + 9). %3D -(x - 2) = 3(y + 5) = -3(z - 9). %3D X + 2 = Y + 5 3 z - 9 -3 X - 2 y + 5 z - 9 %3D -1 3 -3 X + 2 y – 5 z + 9 -3 -1 (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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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