MATH 152 - Suggested Homework Assignments
Textbook: Stewart's Early Vectors Ed.
Note: The * indicates problems that may require a computer or graphing calculator.
For Review
- Section 6.4
# 1, 3, 7, 9, 11, 19, 23, 27, 31, 41, 47, 51, 57, 73, 77, 79, 83, 93, 95
For The Course
- Section 6.5
# 5, 7, 11, 19, 27, 28, 33, 35, 37, 39, 43, 46, 47, 55, 58, 61, 65, 81 - 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 8.9
# 1, 5, 7, 11, 19, 21, 27, 33, 41, 49, 51, 52, 53, 54, 55, 57, 58 - Section 9.3
# 3, 5, 7, 9, 10, 17 - Section 9.4
#1, 3, 8, 9, 11, 13, 23, 24, 27 - 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, 37, 45, 47, 53, 57, 59 - 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 × B1 = (0,0,7) = A2 × B2. - Section 13.4
# 3, 9, 15, 19, 23, 25, 27, 29, 33, 35, 39, 41, 47, 51

