Up: Math 103 Home Page
Note: the actual exam will be significantly shorter than this.
- 1.
- (Vectors) Page 714, #47.

- 2.
- (Dot Product)
- (a)
- Page 724, #55.

- (b)
- Page 724, #61.

will work for any non-zero
w1.
- 3.
- (Cross Product)
- (a)
- Page 792, #5.
Use the cross product.
- (b)
- Page 732, #24.

- 4.
- (Lines)
- (a)
- Page 792, #6.

- (b)
- Page 792, #7.

- 5.
- (Planes)
- (a)
- Page 792, #8.
x+y+2=0
- (b)
- Page 792, #9.
-13x+22y+6z=-23
- 6.
- (Parametric Equations)
- (a)
- Page 620, #39.
The straight line y=x+1.
- (b)
- Page 620, #46.
x+y=2
- 7.
- (Vector Differentiation) Page 754, #13.

- 8.
- (Vector Integration) Page 792, #19.
Integrate twice to get position vector; then check that it falls on
x2+y2=1.
- 9.
- (Curvature and Acceleration)
- (a)
- Page 792, #16.
x+2y+3z=6
- (b)
- Page 792, #23. Also find the arc-length parametrization when
the starting point is t=1.

- 10.
- (Cylinders and Quadric Surfaces) Page 793, #34 but ignore the
part about cylindrical coordinates.

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Up: Math 103 Home Page
Joshua Holden
9/22/1999