You should really take the time to post the questions in the actual thread, rather than making us download a file from an external site. That would make it much easier to help you.

But, since I'm feeling generous...

I.6: The magnitude of a vector is .

The dot product of two vectors and is .

And the angle between two vectors is given by

.

(And this is easily generalized to higher dimensions)

I.9: Law of Sines

II.1: You have two right triangles. Use the given angles to find the measure of the non-right angles in both triangles. Then use trig to find the lengths of the two bottom sides. Their difference is the distance between the stadia.

II.3: Use the information provided to determine how far the pilot has flown in the wrong direction, then simply use the Law of Cosines to calculate the length of the side opposite the 10 degree angle.