# MultiCalc Test 1 Review

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 Author: Robertfoster ID: 132155 Filename: MultiCalc Test 1 Review Updated: 2012-02-01 00:46:14 Tags: Calc Folders: Description: Calc Show Answers:

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1. Properties of the dot product
• a&a=|a|2
• a&b=b&a
• a&(b+c)=a&b+a&c
• (ca)&b=c(a&b)=a&(c&b)
2. Dot angle theorem
a&b=|a||b|cosθ
3. Definition of Dot Product
a&b=a1b1+a2b2+a3b3
4. Orthoginal when...
a&b=0
5. Scalar projection
compab=a&b/|a|
6. Vector Projection
7. It is orthoginal to both a and b.
8. Cross angle theorem
9. Parallel when...
10. Parallelogram?
aXb is equal to the area of the parallelogram formed by a and b
11. Properties of cross product
12. Volume of parallelepiped
13. Parameters
14. Line from r0 to r1
15. Normal vector
16. Elipsoid
17. Cone
18. Elliptic Paraboloid
19. Hyperboloid of One Sheet
20. Hyperbolic Paraboloid
21. Hyperboloid of Two Sheets

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