Math 141 - Week 3 Notes Monday, January 25, 1999

Topics for this week -
  1. Beginning of 3D calculus -- (x,y,z) coordinates, vectors in 2 and 3 dimensions, dot product and cross product.
  2. Lines and planes
Examples -
  1. Find equation of sphere of radius 3 centered at (3,2,4).
  2. Find the angle between the vectors (-3,1,-1) and (1,-1,0).
  3. Find the equation of the plane through the points (0,1,), (-1,1,2) and (2,1,-1). Then find the distance from (5,5,5) to the plane.
  4. If the cross product of V and W is zero, what can you say about V and W? What about the dot product? What if both are zero?
Third Homework Assignment - due on FRIDAY, February 5.
  1. Reading: Chapter 11, sections 11.1-11.5.
  2. Make certain that you can do all of the Core problems for sections 11.1-11.5. But write up only the following to be handed in:
  • Section 11.1, p. 688: # 12, 18, 30, 36, 42, 50
  • Section 11.2, p. 695: # 16, 24, 26, 34
  • Section 11.3, p. 700: # 14, 16, 28, 38, 56
  • Section 11.4, p. 707: # 6, 12, 22, 28, 39
  • Section 11.5, p. 716: # 6, 14, 24, 30, 32, 38, 44, 52, 64