Test 1 Review (MAT 267)
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Part I (multiple choice)
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1.The equation ... represents a sphere. Find its center C and radius r.

WW.10.1, 3, 4, 7

2. Find the between the vectors u and v

 WW.10.3, 6

3. The cross product

 WW.10.4, 3, 4

4. Which of the following is a valid parameterization for the intersection curve of the surfaces ...

WW. 10.7, 17, 18

5. An equation for the line through the points A and B

 WW. 10.5, 7

6. The tangent vector to a curve at t=a.

WW.10.7, 7

7. Given u and v find the area of the parallelogram formed by u and v

WW. 10.4, 6, 7

8. If an object has a position vector r(t)= ...then its acceleration vector at t=a is ...

WW. 10.9, 1, 

Part II: Free Response
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1. Consider the curve r(t)=...

a) Find the arc length of the curve.

  WW. 10.8, 1,2,3

b) Find a vector equation of the tangent line at t=a.

 WW. 10.7, 9, 10


2. Find equation of a plane contains the points A, B, C

WW. 10.5, 13 


3. A particle has a velocity vector V(t)

 a) Find its position r(t)

  WW. 10.7, 19

 b)If the particle has a mass m kg, find the magnitude of the force acting on it when t=a.

  WW. 10.9, 5