1. The points P, (1,2,3), P₂ (2, 1, 2), P, (3, 0, 1), P4 (5, 2,7) are the vertices of a plane quadrilateral find the Coordinates of the midpoints of the sides. What kind of quadrila- teral do these four mid paints form? 2. Given the set S= {(x, y, z): x² + y² +2² = 1}.] L Find the points of SAL where I is the line passing through the origin and having direction numbers 2, 1,3 3. Determine whether or not the three given points lie on a line A (3, 1,0), B (2,2,2), C (0,4,6)
1. The points P, (1,2,3), P₂ (2, 1, 2), P, (3, 0, 1), P4 (5, 2,7) are the vertices of a plane quadrilateral find the Coordinates of the midpoints of the sides. What kind of quadrila- teral do these four mid paints form? 2. Given the set S= {(x, y, z): x² + y² +2² = 1}.] L Find the points of SAL where I is the line passing through the origin and having direction numbers 2, 1,3 3. Determine whether or not the three given points lie on a line A (3, 1,0), B (2,2,2), C (0,4,6)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 44E: For isosceles PNQ, the vertices are P-2a,0, N2a,0, and Q0,2b. In terms of a, and b, find the...
Question
![1. The points P, (1,2,3), P₂ (2, 1, 2), P, (3, 0, 1),
P4 (5, 2,7) are the vertices of a plane
quadrilateral find the
Coordinates of the
midpoints of the sides. What kind of quadrila-
teral do these four mid paints form?
2. Given the set
S= {(x, y, z): x² + y² +2² = 1}.]
L
Find the points of SAL where I is the
line passing through the origin and having
direction numbers 2, 1,3
3. Determine whether or not the three given
points lie on a line
A (3, 1,0), B (2,2,2), C (0,4,6)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F236142b2-f778-49ba-a71a-d903ecb357ae%2Fb3d1d224-3230-49e4-97d2-74eb41c72478%2Fozet79c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The points P, (1,2,3), P₂ (2, 1, 2), P, (3, 0, 1),
P4 (5, 2,7) are the vertices of a plane
quadrilateral find the
Coordinates of the
midpoints of the sides. What kind of quadrila-
teral do these four mid paints form?
2. Given the set
S= {(x, y, z): x² + y² +2² = 1}.]
L
Find the points of SAL where I is the
line passing through the origin and having
direction numbers 2, 1,3
3. Determine whether or not the three given
points lie on a line
A (3, 1,0), B (2,2,2), C (0,4,6)
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