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Vector spaces can be formed of vector subspaces.

Q: What is relationship between vector space and vector subspace?

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There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.

angle. i believe its called a vector.

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Comparison of space vector modulation techniques based onperformance indexes and hardware implementation

The zero vector occurs in any dimensional space and acts as the vector additive identity element. It in one dimensional space it can be <0>, and in two dimensional space it would be<0,0>, and in n- dimensional space it would be <0,0,0,0,0,....n of these> The number 0 is a scalar. It is the additive identity for scalars. The zero vector has length zero. Scalars don't really have length. ( they can represent length of course, such as the norm of a vector) We can look at the distance from the origin, but then aren't we thinking of them as vectors? So the zero vector, even <0>, tells us something about direction since it is a vector and the zero scalar does not. Now I think and example will help. Add the vectors <2,2> and <-2,-2> and you have the zero vector. That is because we are adding two vectors of the same magnitude that point in opposite direction. The zero vector and be considered to point in any direction. So in summary we have to state the obvious, the zero vector is a vector and the number zero is a scalar.

Related questions

Vector spaces should be homgeneous, namely have all on one type vector E or H. E= zH is the relationship between E and H, where z is the free space impedance. E +iH is like adding volts and amperes.

you put the sub in space!

There is no difference.

Divergence: rate of spread of vector in free space for non closed path. and Curl: rate of spread of vector in free space for closed path.

Fire occupies space!

There does not seem to be an under vector room, but there is vector space. Vector space is a structure that is formed by a collection of vectors. This is a term in mathematics.

density

density

The relationship between time and space is, r=ct or space = the speed of light times time.Time t = r/c or time is space divided by the speed of light.Space r is a real number as time t and cthe speed of light.

angle. i believe its called a vector.

It is an integral part of the vector and so is specified by the vector.

An affine space is a vector space with no origin.