16. Find the vector and Cartesian equation of the planes containing, a. the point 4(1,5, 3) and perpendicular to the vector d = 31-4/+6k. b. the points A(1,3, 4), B(2,-1,4) and C(-2,4,5).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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16. Find the vector and Cartesian equation of the planes containing,
a. the point A(1,5,3) and perpendicular to the vector d = 31 -4/+6k .
b. the points A(1,3, 4), B(2,–1,4) and C(-2,4,5).
x-3
c. the point A(2,4,3) and perpendicular to the line
5
-= y+2=
2
x-1y+3
z-1
d. the point A(1,-1, 2) ,and the line with equation
2
-1
Transcribed Image Text:16. Find the vector and Cartesian equation of the planes containing, a. the point A(1,5,3) and perpendicular to the vector d = 31 -4/+6k . b. the points A(1,3, 4), B(2,–1,4) and C(-2,4,5). x-3 c. the point A(2,4,3) and perpendicular to the line 5 -= y+2= 2 x-1y+3 z-1 d. the point A(1,-1, 2) ,and the line with equation 2 -1
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