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

1. Beginning of 3D calculus -- (x,y,z) coordinates, vectors in 2 and 3 dimensions, dot product and cross product.
2. Lines and planes

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?

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: