Assignment For Section 2.1

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)   Compare the dot product defined on page 104 with the dot product from chapter one.  How are they similar and how are they different.  List all the properties they share.

2)   Magnitude is defined on page 104 as the length (distance ) of a vector.  Explain in words how you would mathematically derive this formula: .

3)   Consider problem #15 on page 110.
        a)    Compare this definition to definition 1.6.3 on page 52.
        b)    Do problem #15 on page 110.

4)    Consider problem #16 on page 111.
        a)    Compare the definition of linear dependence from chapter one and chapter two.
        b)    Do problem #16 on page 111.
 

Problems:

page 109     1, 2a,c, 3, 4, 12, 17, 23a, 24