DATE: NO. 1. Find the equation of the plane through (3.2.-1) and (1.-1,2) which is parallel to the line X-1 y11 3 근 -2 2. Find the equation of the plane through P(1,1,1) and parallel to the plane x-2y +32=4. 3. Find the equation of the plane through. P(5-3,7) which is parallel to (a) the xy-plane, (b) the yz-plane; (c) the xz plane. 4. Find all the points of intersection of the three given planes. If the three planes pass through a line, find the equations of the line. in parametric form. 2x + y-az-1-0, 3x + 2y + z-10=0, x+2y-32+2=0 5. Find the equations in parametric form of the line through the given point P, which intersects and is perpendicular to the given P (3,-1,2); L: 1-1- 2 line L. y+1 -1 = टे 3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 77E: Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the...
Question
DATE:
NO.
1. Find the equation of the plane through
(3.2.-1) and (1.-1,2) which is parallel to the line
X-1 y11
3
근
-2
2. Find the equation of the plane through
P(1,1,1) and parallel to the plane x-2y +32=4.
3. Find the equation of the plane through.
P(5-3,7) which is parallel to (a) the xy-plane,
(b) the yz-plane; (c) the xz plane.
4. Find all the points of intersection of the
three given planes. If the three planes pass
through a line, find the equations of the line.
in parametric form.
2x + y-az-1-0, 3x + 2y + z-10=0, x+2y-32+2=0
5. Find the equations in parametric form of the line
through the given point P, which intersects and is
perpendicular to the given
P (3,-1,2); L: 1-1-
2
line L.
y+1
-1
=
टे
3
Transcribed Image Text:DATE: NO. 1. Find the equation of the plane through (3.2.-1) and (1.-1,2) which is parallel to the line X-1 y11 3 근 -2 2. Find the equation of the plane through P(1,1,1) and parallel to the plane x-2y +32=4. 3. Find the equation of the plane through. P(5-3,7) which is parallel to (a) the xy-plane, (b) the yz-plane; (c) the xz plane. 4. Find all the points of intersection of the three given planes. If the three planes pass through a line, find the equations of the line. in parametric form. 2x + y-az-1-0, 3x + 2y + z-10=0, x+2y-32+2=0 5. Find the equations in parametric form of the line through the given point P, which intersects and is perpendicular to the given P (3,-1,2); L: 1-1- 2 line L. y+1 -1 = टे 3
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