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A vector space is an algebraic structure with two binary operations, + and *, that satisfy the following axioms:
1) Associativity: a + ( b + c ) = ( a + b ) + c
2) Commutativity: a + b = b + a
3) Addition identity: a + 0 = a
4) Additive inverse: a + a-1 = 0
5) Scalar distributivity with respect to vector addition: c*(a + b) = c*a + c*b
6) Scalar distributivity with respect to field addition: (c + d)*a = c*a + d*a
7) Compatibility: c*(d*a) = (c*d)*a
8) Scalar multiplicative identity: 1*a = a
For the above axioms a, b, 0, Є Vand 1, c, d Є F where V is a set of vectors over the field F. Most of the time F = R or C, which are the sets of real and complex numbers, respectively.
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What is an under vector room?
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.
What is relationship between vector space and vector subspace?
Vector spaces can be formed of vector subspaces.
How do you represent a vector in space?
v
Implementation technique of space vector moduation?
Comparison of space vector modulation techniques based onperformance indexes and hardware implementation
Is the set of stochastic matrices a vector space?
Nope
What is an under vector room?
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.
What is relationship between vector space and vector subspace?
Vector spaces can be formed of vector subspaces.
Direction of vector in space is specified by?
It is an integral part of the vector and so is specified by the vector.
What is an affine space?
An affine space is a vector space with no origin.
What is need of space vector pulse width modulation?
due to space vector modulation we can eliminate the lower order harmonics
What 2 quantities does a vector have?
A vector has magnitude, which represents its length or size, and direction, which indicates where the vector points in space.
How do you represent a vector in space?
v
Space vector modulation for matrix converter?
space vector modulation id an algorithm of the control of the control of pulse width modulation
Implementation technique of space vector moduation?
Comparison of space vector modulation techniques based onperformance indexes and hardware implementation
WHAT POSITION VECTOR?
A position vector is a vector that represents the location of a point in space relative to a reference point or origin. It specifies the distance and direction from the origin to the point. In three-dimensional space, a position vector is typically denoted as <x, y, z>.
Is the position scalar or vector quantity?
Position is a vector quantity as it has both magnitude (distance) and direction in space.
Why vector is called free vector?
A vector that is not a positional vector (or directly related) is equivalent to another vector of the same magnitude and direction wherever else in space it may be located. Since it is "free" to be located anywhere, it is called a free vector.
