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Q: How do you find a basis for a vector space?
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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.


Where can someone find free vector art?

One can find free vector art online on various websites. Some of these websites are Snap 2 Objects, All Silhouettes, Fudge Graphics, Font Space and Da Space.


What is relationship between vector space and vector subspace?

Vector spaces can be formed of vector subspaces.


Are the components of a vector other than rectangular components exist?

Yes. There are, in fact, an infinite number of other bases in which to express a spacial vector. The rectangular coordinate basis (or Cartesian basis) is the set of unit vectors composed of a vector x pointing in an arbitrary direction from an arbitrarily chosen origin, a vector y perpendicular to x, and a vector z which is mutually perpendicular to both x and y in a direction dictated by the right-hand rule (x×y).Another common basis is the spherical polar basis composed of the unit vectors ρ, φ, and θ where ρ points from an arbitrarily chosen origin towards the point in space one wishes to specify, φ is perpendicular to ρ, and θ is defined as φ×ρ.There are an infinite number of other bases by which one can specify a point in space. The reason that bases such as the Cartesian basis and the spherical polar basis are seen so commonly is because they are simple and intuitive.


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


How do you represent a vector in space?

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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


How do you do cross products?

You need to know that the cross product of two vectors is a vector perpendicular to both vectors. It is defined only in 3 space. The formula to find the cross product of vector a (vector a=[a1,a2,a3]) and vector b (vector b=[b1,b2,b3]) is: vector a x vector b = [a2b3-a3b2,a3b1-a1b3,a1b2-a2b1]


Can the magnitude of a vector be ever equal to one of its components?

Yes. - if all the other components are zero. When the word "component" means the mutually perpendicular vectors that add (through vector addition) to form the resultant, then then answer is that "the magnitude of a vector" can equal one of its components, if and only if all other components have zero length (magnitude). This answer applies to the typical case of a vector being expressed in terms of components defined by an orthogonal basis. In normal space, these basis vectors merely define the relevant orthogonal coordinate system. There are, however, mathematical systems that use a nonorthogonal basis and the answer is different and presumably not part of the submitted question.