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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
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