Advice
Rates & FAQS
Maths/Physics Notes
Our Blog
Contact Us
Online Tests
Call Us
07766496223
Search
Home
GCSE Maths Notes
GCSE Physics Notes
IGCSE Maths Notes
IGCSE Physics Notes
O Level Maths Notes
O Level Additional Maths
O Level Physics Notes
IB Maths Notes
IB Physics Notes
A Level Maths Notes
A Level Physics Notes
University Maths Notes
Abstract Algebra and Group Theory
Advanced Calculus
Analysis
Complex Analysis
Elementary Calculus
Game Theory
Geometry
Logic
Matrices and Linear Algebra
Metric Spaces
Non Euclidean Geometry
Number Theory
Numerical Methods
Probability and Statistics
Set Theory
Stochastic Processes
Tensors
Topology
Vector Calculus
University Physics Notes
Tools and Resources
Maths Tuition
Physics Tuition
Tutor Profiles
Tuition Enquiry
Tutor Registration
Open University
Newsletter
My Favourite Education Links
Privacy Policy
About Us
Similar Articles
The Mechanism of Lightning Production
Proving the Formula for the Kinetic Energy of a Body
Proof that the Focal Length of a Spherical Mirror is Half the Radius of Curvature
Primary and Secondary Colours
Primary and Secondary Cells
Log In or Register to Comment Without Captcha
Username
Password
Show Password
Remember Me
Sign in with a passkey
Log in
Forgot your password?
Forgot your username?
Create an account
Latest Blog Posts
Isn’t it lovely
Car scan of broken leg
Home
University Maths Notes
Vector Calculus
Proof That For an Ellipse, the Dot Product of the Curve With the Cross Product of the Tangent Vector With the Second Derivative is Zero
Proof That For an Ellipse, the Dot Product of the Curve With the Cross Product of the Tangent Vector With the Second Derivative is Zero
Theorem
For a curve defined by
where
are constant vectors,
Theorem
so
Hence
since
and
are perpendicular to
Previous article: Proof That Divergence of the Cross Product of a Constant Vector With Radial Vector is Zero
Prev
Next article: Proof That Grad f is in the Direction of Greatest Rate of Increase of f
Next