A line h passes through a point P(2,–4,3) and is parallel to the line of intersection between planes x+ y-z = 2 and 2x- y+3z = 5. Find the equation of line, h. Hence, determine whether the line h is parallel, intersect or skewed with line g:x =-1+ 2s, y = -4 +s, z = -2- 2s . If they intersect, find the points of intersection.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
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QUESTION 2
A line h passes through a point P(2,–4,3) and is parallel to the line of intersection between
planes x+ y-z = 2 and 2x-y+3z = 5. Find the equation of line, h. Hence, determine
whether the line h is parallel, intersect or skewed with line
g :x = -1+2s, y = -4+s, z = -2- 2s .
If they intersect, find the points of intersection.
Transcribed Image Text:QUESTION 2 A line h passes through a point P(2,–4,3) and is parallel to the line of intersection between planes x+ y-z = 2 and 2x-y+3z = 5. Find the equation of line, h. Hence, determine whether the line h is parallel, intersect or skewed with line g :x = -1+2s, y = -4+s, z = -2- 2s . If they intersect, find the points of intersection.
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