query: the derivative of tangential vector is normal vector - can anyone please prove this?
positive_passages.docid: 152853
positive_passages.text: What is the intuition behind the unit normal vector being the derivative of the unit tangent vector?
negative_passages.docid: 51253
negative_passages.text: Graphical intuition behind directional derivative interpreted as a(∂f/∂x)+b(∂f/∂y), where  is directional vector of unit length?
negative_passages.docid: 53767
negative_passages.text: How to prove that derivatives have the Intermediate Value Property
negative_passages.docid: 9351
negative_passages.text: Tangential acceleration in circular motion?
negative_passages.docid: 23399
negative_passages.text: Nature of spacetime 4-vector and tangent space?
negative_passages.docid: 35337
negative_passages.text: Problem in notation: $(\vec{v}\cdot\vec{\nabla})\vec{v}$ versus $L_v(\vec{v})$
negative_passages.docid: 65889
negative_passages.text: Showing $\Phi(x)=\int_0^x (x-t)f(t)\,dt$ is twice differentiable and finding $\Phi''(x)$
negative_passages.docid: 84597
negative_passages.text: Derivative of $(1-x)^{-2}$
negative_passages.docid: 76904
negative_passages.text: Computing matrix-vector calculus derivatives
negative_passages.docid: 103501
negative_passages.text: Question about a normal equation proof
negative_passages.docid: 15596
negative_passages.text: Identification of each tangent space $T_pV$ with $V$ itself?
negative_passages.docid: 53466
negative_passages.text: derivative of a determinant of matrix
negative_passages.docid: 146318
negative_passages.text: Derivative of f(x)=arth(lnx)
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
negative_passages.docid: 131621
negative_passages.text: Evaluating a product of tangents
negative_passages.docid: 139631
negative_passages.text: How to take this exterior derivative of the expression $du - \sum_i p_i dx_i$?
negative_passages.docid: 105767
negative_passages.text: derivative under integral intuition