List questions from vector-analysis

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If $r = \langle x,y\rangle$, $r_1 = \langle x_1, y_1\rangle$, and $r_2 = \langle x_2,y_2\rangle$, describe the set of all points $(x,y)$ ...

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List Question

Is a curl-free vector field always a gradient?

hodge stars of 2-forms in 4-space

About Stokes' theorem

Angles in a Triangle and Vectors

zeroes of vector fields on surfaces

zero of vector field with index 0

Slick proof of Gauss' theorem

How would you prove $E = -\vec{\nabla} V$ from the electric potential's line integral?

Del operator ($\nabla$) in spherical co-ordinate system

If $r = \langle x,y\rangle$, $r_1 = \langle x_1, y_1\rangle$, and $r_2 = \langle x_2,y_2\rangle$, describe the set of all points $(x,y)$ ...

Relating geometric and Algebraic Definitions of the dot product

Finding the sphere surface area using the divergence theorem and sphere volume

What if $\operatorname{div}f=0$?

A nabla operator identity in ortho-normal coordinate systems

What does the ~ symbol, placed above a vector, mean

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