2 r22 2.(a) Find the parametric and symmetric equation of a line passing through (-4, 1, 2) and perpendicular to the plane x +2y + rz 3 X+2Yt2zz 3 (b) Find the point of this line with the y-z plane. rz 2 3. Find the equation of the plane passing through A(-1, 2, 0), B(2, 0, 1) and C(r, 3, 1) C (2,3,1) 4. Determine whether the lines given by the following symmetric equations are parallel, perpendicular or skew: ra d y-2 3 Z-3 4 -1 2 +1 6 y-3 -1 -2 II II II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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2
r22
2.(a) Find the parametric and symmetric equation of a line passing through (-4, 1, 2) and
perpendicular to the plane x +2y + rz 3
X+2Yt2zz 3
(b) Find the point of this line with the y-z plane.
rz 2
3. Find the equation of the plane passing through A(-1, 2, 0), B(2, 0, 1) and C(r, 3, 1)
C (2,3,1)
4. Determine whether the lines given by the following symmetric equations are parallel,
perpendicular or skew:
ra d
y-2
3
Z-3
4
-1
2
+1
6
y-3
-1
-2
II II
II
Transcribed Image Text:2 r22 2.(a) Find the parametric and symmetric equation of a line passing through (-4, 1, 2) and perpendicular to the plane x +2y + rz 3 X+2Yt2zz 3 (b) Find the point of this line with the y-z plane. rz 2 3. Find the equation of the plane passing through A(-1, 2, 0), B(2, 0, 1) and C(r, 3, 1) C (2,3,1) 4. Determine whether the lines given by the following symmetric equations are parallel, perpendicular or skew: ra d y-2 3 Z-3 4 -1 2 +1 6 y-3 -1 -2 II II II
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