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Unformatted text preview: MATH 231 / Spring 2008 Name: Key 1. (3 points) What is the equation of a sphere with center (h, k, l) and radius r? Solution: (x  h)2 + (y  k)2 + (z  l)2 = r2 January 23, 2008           2. (7 points) If A, B, and C are vertices of a triangle, what is AB+ BC + CA? What about AB CB AC? Solution: We know that, in order to add vectors, we simply add them tip to tail. Thus,         AB + BC + CA = AC + CA = 0       Furthermore, since CB = BC and AC = CA, the second question simplifies to the first.            AB  CB  AC = AB + BC + CA = 0 1 ...
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This homework help was uploaded on 04/17/2008 for the course MATH 231 taught by Professor Bociu during the Spring '08 term at UVA.
 Spring '08
 BOCIU
 Math, Calculus

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