# Evaluating quantities of vectors

Two vectors are given by A = -3i + 7j -4k and

B = 6i -10j + 9k. Evaluate the quantities:

a) cos^-1 [A.B/AB] ( the . between the A.B is a dot product)

b) sin^-1 [ |A x B|/AB]

c) Which gives the angle between the vectors.

I haven't a clue as to what to do with this problem. Do I use the cross products of unit vectors to solve this? And if so how do I set up and solve? I would really like to see this worked out completely so I can understand this process. My text book has no example except for listing this formula. I also have the formula C = AB sin theta, is this somehow helpful in solving the above?

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#### Solution Summary

This solution is provided in approximately 79 words in an attached .doc file. It uses calculations and explanations to determine the quantities of various vectors.