MA 16600 Midterm: Spring 2005, 1
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/100: write your name, student id number, recitation instructor"s name and recitation time in the space provided above. Correct answers with inconsistent work may not be given credit: credit for each problem is given in parentheses in the left hand margin, no books, notes or calculators may be used on this test. (6) 1. Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3). (6) 2. If ~a = ~i ~j + ~k, nd a vector ~b whose length is 5 and whose direction is the same as that of ~a. True or false. (circle t or f) (a) ~a = ~i + 2~j + 5~k and ~b = 3~i + 4~j ~k are parallel. T f (b) ~a = 2~i + 6~j 4~k and ~b = 3~i 9~j + 6~k are orthogonal.