Why is the normal vector to the surface $f$ given by $\text{grad}(f)$?
105248
Why is the gradient of implicit surface the normal vector (i.e. parallel to the normal line)?
16644
Why does cancellation of dots $\frac{\partial \dot{\mathbf{r}}_i}{\partial \dot{q}_j} = \frac{\partial \mathbf{r}_i}{\partial q_j}$ work?
56275
Vector derivative w.r.t its transpose $\frac{d(Ax)}{d(x^T)}$
59598
The vectors are orthonormal
96380
Representation of $\text{sl}(2,\mathbb{C})$
5303
isolated non-normal surface singularity
80756
Does $x_0^4+x_1^4+x_2^4+x_3^4-ax_1x_2x_3x_4$ really define a surface?
132063
locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
81375
Why does $V(I(S))=\overline{S}$?
61220
What does "$\mathbb{F^n}$ is a vector space over $\mathbb{F}$" mean?
59125
Why does this matrix give the derivative of a function?
152916
What is the gradient with respect to a vector $\mathbf x$?
34206
Quadratic form under $\mathbb{C}$ finite-dimension vector space always have a nonzero vector that yields zero?
123911
Why is the derivative of a vector orthogonal to the vector itself?
61307
Consider the surface $S$ in $\mathbb{R}^ 3$ given by the graph of $f(x, y) = xy^2 − 2y^2 + e^x $.
103501
Question about a normal equation proof
23037
Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$