Chapter 6 Flashcards
1
Q
Vector Standard Form
A
ai +bj
2
Q
Magnitude
A
|u|=the square root of: a^2+b^2
3
Q
Unit Vector
A
u/|u|
4
Q
Dot Product
A
(u)(v)=(u1)(v1)+(u2)(v2)= SCALAR
5
Q
Vector Formula for points
A
6
Q
Ø=
A
Cos^-1((u)(v)/(|u||v|))
7
Q
Clockwise for…
A
Bearing angles
8
Q
Counter Clockwise for…
A
Direction Angles
9
Q
Always use direction angles for…
A
Vectors
10
Q
Rose Curves
A
r=(a)(sin)(n)(ø) or r=(a)(cos)(n)(ø)
D:All Real Numbers
R:[-|a|,|a|]
N determines number of petals and what it’s symmetrical to
11
Q
Limaçon Curves
A
r=a+-bsinø or r=a+-bcosø
D:All Real Numbers
R:[a-b,a+b]
Symmetrical to l axis
12
Q
Complex Standard/Trig Form
A
Z:a+b
Trig Form: rcisø
13
Q
(Z1)(Z2)
A
(r1)(r2)(cis)((ø1+ø2))
14
Q
Z1/Z2
A
(r1/r2)(cis)((ø1+ø2))
15
Q
Vector Component Form
A
u=<a></a>
