Math 8 Homework #27

I think over again my small adventures, my fears,
Those small ones that seemed so big.
For all the vital things I had to get and to reach.
And yet there is only one great thing, the Only thing,
To live to see the great day that dawns,
And the light that fills the world.
Old Inuit Song

Reading

Read what we will cover in class on Monday: 1.6, 1.7, 1.8.

When reading 1.6 pay special attention to the following concepts:

  • dot product, Theorem 3, unit vectors, Theorem 4, and the fact on page 63, projections and components, normal vectors.
When reading 1.7 pay special attention to the following concepts:
  • planes, normal vectors, vector and scalar equations for planes.
When reading 1.8 pay special attention to the following concepts:
  • cross product, perpendicular property, anti-commutativity, the matrix rendition, Theorem 7, geometric interpretation.

Problems

The following problems will not be collected, but are strongly suggested:
  • 1.6 : 29, 30, 38.
  • 1.7 : 5a,b,c,e, 9, 11, 15, 17, 18, 26a, 28.
  • 1.8 : 2a,b, 14, 15, 16, 17.