Loading...
13.4 HelixUnitTangent+UnitPrinNormalVectors 240924done
Save Copy
Desmos Logo
Log In
Sign Up
and the Velocity Vector was:
and the Velocity Vector was:
14
Expression 15: vector left parenthesis, "P" , "P" plus "V" , right parenthesis
v
e
c
t
o
r
P
,
P
+
V
15
QUESTION: how will the Velocity Vector compare to the Unit Tangent Vector?
QUESTION: how will the Velocity Vector compare to the Unit Tangent Vector?
16
The POINT that is the head/end of Unit Tangent VECTOR when t = (pi)/2
The POINT that is the head/end of Unit Tangent VECTOR when t = (pi)/2
17
Expression 18: "T" equals left parenthesis, negative StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction , 0 , StartFraction, 1 Over StartRoot, 2 , EndRoot , EndFraction , right parenthesis
T
=
−
1
2
,
0
,
1
2
18
and the Unit Tangent vector with the initial point at P is:
and the Unit Tangent vector with the initial point at P is:
19
Expression 20: vector left parenthesis, "P" , "P" plus "T" , right parenthesis
v
e
c
t
o
r
P
,
P
+
T
20
QUESTION: how will the Unit Tangent Vector compare to the Unit Principle Normal Vector?
QUESTION: how will the Unit Tangent Vector compare to the Unit Principle Normal Vector?
21
The POINT that is the head/end of Unit Principle Normal VECTOR when t = (pi)/2
The POINT that is the head/end of Unit Principle Normal VECTOR when t = (pi)/2
22
Expression 23: "N" equals left parenthesis, 0 , negative 1 , 0 , right parenthesis
N
=
0
,
−
1
,
0
23
and the Unit Principle Normal vector with initial point at P is:
and the Unit Principle Normal vector with initial point at P is:
24
Expression 25: vector left parenthesis, "P" , "P" positive "N" , right parenthesis
v
e
c
t
o
r
P
,
P
+
N
25
All done .
All done .
26
Expression 27: "V" equals left parenthesis, negative 1 , 0 , 1 , right parenthesis
V
=
−
1
,
0
,
1
27
Ignore this set-up folder (colors)
Ignore this set-up folder (colors)
Hide this folder from students.
28
35
powered by
powered by
"x"
x
"y"
y
"z"
z
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
Log In
or
Sign Up
to save your graphs!
New Blank Graph
Examples
Function of x,y
example
Function of r,θ
example
Magic list of points
example
Ellipsoid
example
Spheres
example
Parametric curve
example
Parametric surface
example
Implicit surface
example
Goursat's Tangle
example
Octahedron
example
Space curves
example
Osculating circle
example
Surface of revolution
example
Parametric surface of revolution
example
Solids of revolution
example
Conic sections: Hyperbola
example
Contour plot
example
Vectors
example
Frenet frame
example
Double helix
example
Terms of Service
|
Privacy Policy