# Questions tagged [vectors]

Use this tag for questions and problems involving vectors, e.g., in an Euclidean plane or space. More abstract questions, might better be tagged vector-spaces, linear-algebra, etc.

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For the vectors $x$ and $y$, the Cauchy–Schwarz inequality reads $$|x\cdot y|\leq||x||\cdot||y||$$ Does this inequality only hold for 2-norm? Or for any norms? Thanks in advance.
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### What is the difference between tensor calculus and exterior derivative type concepts?

I am trying to clarify terms in order to help me figure out what I'd like to study. I understand that $p$-forms and $p$-vectors are used with things like wedge products, exterior algebras, and a ...
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### How to arrange vectors in a circle so as to minimize the resultant?

Sorry for the vague language, but I want to arrange weights in a circle so as to minimize the resultant moment. The axis of rotation is perpendicular to the plane in which the weights lie, and the ...
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### are all vectors position vectors?

So i have two questions: 1) If Vectors (say in R2) are independent of their location in space, then couldn't you theoretically for any vector in R2 regardless of its position, just move it such that ...
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### What does it mean for a polar coordinate system to have basis vectors?

So I understand that every element of a vector space can be represented uniquely by a linear combination of the basis vectors: $v=\alpha_1v_1+\cdots+\alpha_nv_n$ Then coordinates to those basis ...
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### Apostol Calculus I-14.19 exercise 16(missiles problem)

Problem: Due to a mechanical failure,a ground crew has lost control of a missile recently fired.It is known tha the missile will proceed at a constant speed on a straight course of unknown direction....
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