# Tagged Questions

For questions about vector spaces and their properties. More general questions about linear algebra belong under the [tag:linear-algebra] tag. A vector space is a space which consists of elements called "vectors", which can be added and multiplied by scalars. In other words, these are the spaces ...

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### Scale position points in a circle.Look like normal scaling

I have an Art degree, no math involved, so sometimes when doing 3D graphics and envisioning problems, it's hard to search for solutions over the internet since I don't have good pointers for search ...
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### How can I find velocity vector at position $P$ of a particle moving in a circular fashion?

My question is: How can I find the velocity vector when the particle is at the point $P$? A particle is going in a circular path around the line $\ell : (x,y,z)= (2+t,-1+2t,3-2t)$. The particle is ...
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### Direct sum of 3 vector spaces

I am trying to find some example of 3 subspaces A, B, C of some vector space X, such that $A+B, A+C, B+C$ and $A+B+C$ are all direct sums of X. Is there any ideas? I tries basis vectors but those are ...
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### doubt regarding basis of vector space

i am studying basis of a vector space .let vector space be $V$ and subset be $B$. in it the two condition stated were that $B$ is a maximal linearly independent set in $V$ and second condition was ...
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### Help with this demostration of spaces

Let U, W, S dimensional subspaces of a finite space such that V=U+W+S. Prove that V = U⊕W⊕S if and only if. dim (V) = dim (U) + dim (W) + dim (S)
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### Help with Linear Algebra proof that an infinite set of polynomials is independent

Let $\mu_k(t) = t^k$, for $k = 0,1,2, \dots,$ and $t$ is real. I want to show that the infinite set $S = \{\mu_0, \mu_1 , dots \}$ is independent. To do this, set up (1) $\sum_{k=0}^n c_kt^k= 0$, for ...
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### Prove all 8 axioms of a vector space?

$\newcommand{\u}{{\bf u}} \newcommand{\v}{{\bf v}} \newcommand{\w}{{\bf w}} \newcommand{\V}{{\bf V}} \newcommand{\L}{{\bf L}} \newcommand{\W}{{\bf W}}$ I suppose that this question has been asked ...