1. Find the dot product of u and v if   u = <4,2> and v = <-3,5>.

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  2. Find the angle between u = <-2,7> and v = <4,1>.

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  3. Are u = <3,-2> and v = <6,9> orthogonal?

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  4. A 500 lb boat is sitting on a ramp inclined at 350.  What force is required to keep the boat from rolling down the ramp?

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  5. To close a sliding door, a person pulls on a rope with a constant force of 50 lbs at a constant angle of 60o.  Find the work done in moving the door 12 feet to its closed position.

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