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MultiCalc Test 1 Review
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Robertfoster
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Properties of the dot product
a&a=a

^{2}
a&b=b&a
a&(b+c)=a&b+a&c
(c
a)&b=
c(
a&b)=a&(
c&
b)
Dot angle theorem
a&b=ab
cosθ
Definition of Dot Product
a&b=
a
_{1}
b
_{1}
+a
_{2}
b
_{2}
+a
_{3}
b
_{3}
Orthoginal when...
a&b=
0
Scalar projection
comp
_{a}
b=a&b/a
Vector Projection
It is orthoginal to both
a
and
b.
Cross angle theorem
Parallel when...
Parallelogram?
aXb
is equal to the area of the parallelogram formed by
a
and
b
Properties of cross product
Volume of parallelepiped
Parameters
Line from r
_{0}
to r
_{1}
Normal vector
Elipsoid
Cone
Elliptic Paraboloid
Hyperboloid of One Sheet
Hyperbolic Paraboloid
Hyperboloid of Two Sheets
Author:
Robertfoster
ID:
132155
Card Set:
MultiCalc Test 1 Review
Updated:
20120201 05:46:14
Tags:
Calc
Folders:
Description:
Calc
Show Answers:
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