# Calc III Exam 1

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 Author: stpierrewm ID: 308200 Filename: Calc III Exam 1 Updated: 2015-09-20 14:57:27 Tags: Calc III Exam Folders: Calc III Exam 1 Description: Calc III Exam 1 Show Answers:

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1. Parametric equation of a line

<point on line>+t<vector parallel to line>
2. If and  are the two sides of a parallelogram, what is the area of the parallelogram?
3. Equation of a plane (scalar equation and vector equation)
• Vector Equation:
• <x0,y0,z0> is a point on the plane, n is the normal vector to the plane

• Scalar Equation:
• <a,b,c> is the normal vector to the plane
4. arc length formula
• Continuous on [a,t]
• Traverses curve once on interval
5.  (derivative of arc length)
6. Unit Tangent Vector T(t)
7. κ=curvature=
8. B=Unit Binormal Vector=
TxN
9. N=unit normal vector=
•
• or
10. Components of acceleration
a=
11.  or κ

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