DATE: NO. 1. One end point of a line segment is at P₁ (-2, 1, 6) and the midpoint Q lies in the plane y=3. The other endpoint, &, lies on the intersection of the planes x=4 and 2-6. Find the coordinates of P₂ and Q. 2. Determine whether or not the three given points lie on a line. A (1,-1, 2), B (-1, -4,3), C (3,2,1) 3. Describe the set of points in space given by {(x,y,z): x20, y ≤0, zzo}! 4. Find the equation of the graph of all points equidistant from the points (2,-1, 3) and (3,1,-1). Can you describe the graph. 1 '

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 21CT
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Question
DATE:
NO.
1. One end point of a line segment is at
P₁ (-2, 1, 6) and the midpoint Q lies in the
plane y=3. The other endpoint, &, lies
on the intersection of the planes x=4 and
2-6. Find the coordinates of P₂ and Q.
2. Determine whether or not the three
given points
lie on a line.
A (1,-1, 2), B (-1, -4,3), C (3,2,1)
3. Describe the set of points in space given
by {(x,y,z): x20, y ≤0, zzo}!
4. Find the equation of the graph of all points
equidistant from the points (2,-1, 3) and
(3,1,-1). Can you describe the graph.
1
'
Transcribed Image Text:DATE: NO. 1. One end point of a line segment is at P₁ (-2, 1, 6) and the midpoint Q lies in the plane y=3. The other endpoint, &, lies on the intersection of the planes x=4 and 2-6. Find the coordinates of P₂ and Q. 2. Determine whether or not the three given points lie on a line. A (1,-1, 2), B (-1, -4,3), C (3,2,1) 3. Describe the set of points in space given by {(x,y,z): x20, y ≤0, zzo}! 4. Find the equation of the graph of all points equidistant from the points (2,-1, 3) and (3,1,-1). Can you describe the graph. 1 '
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