Reading: Sections 1.3, 1.5-6. Sections 2.1 (through Definition 3), 2.3-4.
Problems: Section 1.7: 31, 35, 42 [Hint: use Cauchy-Schwarz.], 46 [Hints: (1) When working with distances you can often work with the squares of the distances. (2) Start with one quantity and manipulate it to match the desired expression. Don't write both of them with "=" between them. (3) Work with U and V, not (u1, u2) and (v1, v2).]
Section 2.5:: 7 [Hint: do not forget that (2,-1) should be the vertex of the angle], 12 [Hint: you can use either the result of Proposition 11 or the proof of Proposition 11; if you use the result theoreof, make sure to check that the assumption involving l in the problem gives you the assumption involving the interior in the proposition], 13.
Extra problem: Prove that for two nonzero vectors A and B, we can use the following "geometric" formula for their scalar product: <A,B> = ||A|| · ||B|| cos θ. [Remember that all we know in this logical development of geometry is what arccos is.]