Assignment For Section 1.6

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 |compb(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  compb(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.(b - c) = a.b - a.c.

5)   Prove Theorem 1.6.3.


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