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Unformatted text preview: Math 251 Section 3 Spring 2010 Quiz 3 Name
Work individually to answer these questions. (5 pts} 1. (1 pt) Sketch the points (0,5,2), (4,—1,0) and (2,4,6) in a single threedimensional
coordinate system. ‘1 (who)
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‘l
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I ‘~T(0,5iz)
i \
4' 0,4,0) 5 y )(
2. (1 pt) Sketch the graph of the equation ac : z in a 3D coordinate system. )’ 3. (1 pt) Find an equation of the sphere that passes through the point (4, 3, —1) and
has center (3, 8, 1). L244; Y‘ 5% 6w mai‘tLS of «km 5(3he/rel tm The, utmwiimn oﬁ SVHM ‘5
(M~%)2+ (y «3+ czo‘: 30 1 4. (1 pt) Given vectors a and b7 draw a + b and b — 3a. 5. (1 pt) Given a : i+ 2j — 3k and b = ~2i —j + k7 ﬁnd (not draw) 2a + 3b and
[a— b. 1u+ $5: 2 (3+2) ‘3,” + 5L3:3+k) : 4.\ +3~3K &_b :((‘+2V)>,k)(‘1“*3+\<) *2 5; +33 '4K ’__—_____________.____.___._. \a—4ﬂ 1J3“? 52+(“Hz =(J34' ...
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 Spring '09
 CGHEN
 3D coordinate system, equation ac, utmwiimn oﬁ, 4.\ +3~3K

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