**Readings Questions:**

You should read the section before
attempting any reading questions or problems. Remember that you are responsible
for all definitions and examples. **Also remember to keep the answers
to the reading questions on a separate piece of paper; these will be randomly
collected from time to time.**

1) Write the triginometric identity involving the cosine of the difference of two angles: cos(a - b) = ?

2) Figure 1.6.5
illustrates |comp_{b}(a)| for vectors in which the angle q is obtuse.
Use #1 above to confirm equation (1.6.4) for vectors which form an obtuse
angle. Note that by definition 1.6.3 comp_{b}(a) is
negative for vectors forming obtuse angles.

3) Draw two vectors which form an acute angle. Then use your sketch to confirm equation (1.6.4) for acute angles.

4) Prove **a ^{.}**(

5) Prove Theorem 1.6.3.

**Problems:**

**page 54
1, 3, 4a,c, 5, 7, 13, 16, 18, 22**