Calculus in one variable looks at functions f IR B
we already saw that a curve in theplane can be seen
as a fat IR Ra using parametric equations
Let's take a closer look at the structure of B R IR
B Plane GD
RxR xy X
ye R
RxRxR R xy Z X
y 2 ER Space 3D
IN
An X Xn X Xa XnE R ns
padinensional
It turns out that R in general is a vectorspace
MTH 4100
A point in R's ar R is sometimes called a vector paH
NIR
P Sometimes
we write it fer
Cray a pointor a insteadof
2 usingcoordinates
yy
i
7
x
Note that any
poirtfvectrhasadiectiQanda
the
gthfitnho.rgreet gig
, U V 2M
Length nam
21 Norm off
In IR HEH M
1123
Fix yet 1hr24 x2ty4z2M
2
ExY 27
I72
y
y
THR Ee x xn HEH xit.int
A vector space has two operations
Addition ↑St
Multiplication
by a scalar E
we already saw that a curve in theplane can be seen
as a fat IR Ra using parametric equations
Let's take a closer look at the structure of B R IR
B Plane GD
RxR xy X
ye R
RxRxR R xy Z X
y 2 ER Space 3D
IN
An X Xn X Xa XnE R ns
padinensional
It turns out that R in general is a vectorspace
MTH 4100
A point in R's ar R is sometimes called a vector paH
NIR
P Sometimes
we write it fer
Cray a pointor a insteadof
2 usingcoordinates
yy
i
7
x
Note that any
poirtfvectrhasadiectiQanda
the
gthfitnho.rgreet gig
, U V 2M
Length nam
21 Norm off
In IR HEH M
1123
Fix yet 1hr24 x2ty4z2M
2
ExY 27
I72
y
y
THR Ee x xn HEH xit.int
A vector space has two operations
Addition ↑St
Multiplication
by a scalar E
