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1. What are the units of a unit vector?

-I think that a unit vector has no units or is the question talking about a different type of units. I'm just confused.

2.Evaluate the following definite integrals

5

ò x–1 dx= ln x +C

0

ln5 – ln0

ln(0) is undefined so I am unsure what to do from here on this problem.

3. Express in terms of ln 2 and ln 5:

(b) ln (1/4)

(d) ln (1/40)

I don’t know what to do with the fractions in this problem. I did this one with no problem.

ln(50)= ln2 + 2ln5

4. Two vectors A and B have precisely equal magnitudes. In order for the magnitude of A + B to be one hundred times larger than the magnitude of A – B, what must be the angle between them?

I really have no idea how to go about doing this problem. Maybe if someone could point me in the right direction or give me a hint about where to start I would be able to figure something out.

Thanks so much.

-Lynn