List questions from vector-analysis

Published on 03 Oct 2018 - 8:40

75

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Find the second rank tensor that satisfies the identity.

Published on 25 Mar 2026 - 22:09

48

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Is $P$ a subspace of $\mathbb{R_{≤2}[x]}$?

Published on 03 Oct 2018 - 17:02

45

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Find the partial derivatives of the function $f(x)=\|x\|^{\alpha}$ outside of $(0,0)$

Published on 04 Oct 2018 - 9:46

2.2k

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How to prove the distributive law of dot product (i.e $A.(B+C) = (A.B) + (A.C)$)when three vectors $A , B , C$ are not in the same plane?

Published on 05 Oct 2018 - 7:40

278

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Motion of an object that always has an acceleration perpendicular to its velocity

Published on 28 Mar 2026 - 7:32

124

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Curve $\alpha(t)$ with evolute of $E(t)=(t,1/t)$

Published on 06 Oct 2018 - 20:45

110

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When a third vector in a plane does not lie in the span of 2 linearly independent vectors in the plane

Published on 27 Mar 2026 - 1:47

296

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Equation of tangent plane to a parametrised surface

Published on 26 Mar 2026 - 22:14

93

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Showing that $∇·(s∇×(s\vec V))=(∇×\vec V)·∇(s^2/2)$

Published on 08 Oct 2018 - 0:51

314

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Derivative of a vector times its transpose

Published on 26 Mar 2026 - 10:59

1.2k

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Relation between transformation matrices and conversion formulas between coordinate systems?

Published on 25 Mar 2026 - 22:02

193

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Covariant and contravariant of curvilinear system with given vectors

Published on 09 Oct 2018 - 23:33

54

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How to find the angle bisectors of 2 lines

Published on 09 Oct 2018 - 23:37

116

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Show a vector identity including derivative $a\cdot \frac{\partial F}{\partial q}b=\left(\frac{\partial F}{\partial q}\right)^T a\cdot b$

Published on 25 Mar 2026 - 20:36

List Question

Injective mapping theorem

Find the second rank tensor that satisfies the identity.

Is $P$ a subspace of $\mathbb{R_{≤2}[x]}$?

Find the partial derivatives of the function $f(x)=\|x\|^{\alpha}$ outside of $(0,0)$

How to prove the distributive law of dot product (i.e $A.(B+C) = (A.B) + (A.C)$)when three vectors $A , B , C$ are not in the same plane?

Motion of an object that always has an acceleration perpendicular to its velocity

Curve $\alpha(t)$ with evolute of $E(t)=(t,1/t)$

When a third vector in a plane does not lie in the span of 2 linearly independent vectors in the plane

Equation of tangent plane to a parametrised surface

Showing that $∇·(s∇×(s\vec V))=(∇×\vec V)·∇(s^2/2)$

Derivative of a vector times its transpose

Relation between transformation matrices and conversion formulas between coordinate systems?

Covariant and contravariant of curvilinear system with given vectors

How to find the angle bisectors of 2 lines

Show a vector identity including derivative $a\cdot \frac{\partial F}{\partial q}b=\left(\frac{\partial F}{\partial q}\right)^T a\cdot b$

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