MATH 152: Suggested Homework Assignments
(Stewart's Early Vectors Ed.)
Note: the * indicates problems that may require
a computer or graphing calculator.
FOR REVIEW:
Section 6.3 # 3, 7, 8, 9, 12, 13, 25, 27, 31
Section 6.4 # 1, 3, 7, 9, 11, 19, 23, 27, 31, 41, 47, 51, 57, 73, 77, 79,
83, 93, 95
Section 6.5 # 5, 7, 11, 19, 27, 28, 33, 35, 37, 39, 43, 46, 47, 55,
58, 61, 65, 81
FOR THE COURSE
Section 7.1 # 1, 3, 7, 13, 17, 23, 25, 27, 31, 33, 35, 45*, 57
Section 7.2 # 1, 3, 7, 9, 13, 17, 19, 20, 21, 22, 35, 45, 51, 56, 57, 58, 59, 61
Section 7.3 # 1, 3, 5, 11, 17, 19, 25, 27, 29, 33, 34, 35, 37, 38, 41
Section 7.4 # 3, 5, 7, 11, 12, 13, 15, 17, 19, 20, 25
Section 7.5 # 1, 5, 9, 12, 13, 15
Section 8.1 # 3, 5, 11, 21, 25, 28, 29, 33, 41, 49, 51
Section 8.2 # 1, 3, 5, 15, 23, 29, 35, 49, 51*, 53
Section 8.3 # 3, 7, 9, 11, 17, 20, 21, 25, 27, 29(a)
Section 8.4 # 1, 5, 9, 14, 15, 19, 21, 29, 31, 39, 43, 49, 62
Section 8.8 # 1, 5, 7, 19, 20, 29, 31, 33
Section 8.9 # 1, 5, 7, 11, 19, 21, 27, 33, 41, 49, 51, 52, 53, 54, 55,
57, 58
Section 9.1 # 1, 5, 7, 8, 9, 11, 17, 23, 29, 30
Section 9.2 # 1, 3, 5, 9, 13, 15, 17, 19, 33
Section 9.3 # 3, 5, 7, 9, 10, 17
Section 9.4 # 1, 3, 8, 9, 11, 13, 23, 24, 27
Section 9.5 # 1, 5, 7, 15, 18, 19
Section 9.6 # 1, 3, 6, 7, 9, 11, 13, 17
Section 10.1 # 3, 5, 9, 11, 13, 21, 23, 27*, 31*, 37, 39, 43
Section 10.2 # 3, 5, 7, 11, 13, 14, 15, 19, 20, 21, 23, 31, 43, 49
Section 10.3 # 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27
Section 10.4 # 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 27, 31, 33
Section 10.5 # 3, 5, 7, 8, 9, 11, 13, 15, 17
Section 10.6 # 3, 5, 7, 9, 11, 13, 15*, 19, 21, 23, 25
Section 10.7 # 3, 5, 7, 9, 11, 17, 18, 21, 23*, 29, 33, 37, 39, 41
Section 10.9 # 3, 5, 7, 9*, 11, 13, 17, 21, 23
Section 11.1 # 3, 5, 7, 13, 25, 29, 31, 33, 35, 39, 45, 47
Section 11.2 # 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 31, 33, 35
Section 11.3 # 3, 5, 7, 9, 11, 19, 21, 23, 31
Also be able to do the following problem:
Let A1 and B1 be the vectors (1,2,0) and (-3,1,0),
respectively. Let A2 and B2 be the vectors obtained by rotating
A1 and B1 by an angle of 60 degrees in the
counterclockwise direction about the Z-axis. Compute the vectors
A2 and B2 and show that the cross product of
A2 with B2 is the same as the cross product of
A1 with B1.
Hint: to compute A2 and B2, express the x,y-coordinates of
A1 and B1 using polar coordinates.
Answer: A2=(-1.232, 1.866, 0); B2=(-2.366, -2.098, 0)
and A1 x B1 = (0,0,7) = A2 x B2.
Section 11.4 # 3, 7, 13, 15, 17, 19, 25, 29, 31, 37, 43, 47, 49, 51, 55, 63, 65
Last modified by ala on Wed, 07/Jan/2004.