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Math 213 — Quiz 1
Name
Sample Solution
1. Find an equation of the set of all points equidistant from
A
(

1
,
5
,
3) and
B
(6
,
2
,

2).
Describe the set geometrically.
The set is deﬁned by the equation
(
x
+ 1)
2
+ (
y

5)
2
+ (
z

3)
2
= (
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Unformatted text preview: x6) 2 + ( y2) 2 + ( z + 2) 2 . After expanding the squares and gathering like terms, we ﬁnd the equivalent equation 14 x6 y10 z = 9 , which is the equation of a plane....
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This note was uploaded on 05/09/2008 for the course MATH 2130 taught by Professor Dorais during the Spring '08 term at Cornell University (Engineering School).
 Spring '08
 DORAIS
 Math, Calculus

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