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How many components have a vector?
It is the other way round - it's the vector that has components.In general, a vector can have one or more components - though a vector with a single component is often called a "scalar" instead - but technically, a scalar is a special case of a vector.
Can a magnitude of vector greater than its components?
Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.
Vector may be resolved into only three components?
A vector may be represented as a combination of as many components as you feel would satisfy you, without limit. Whatever ludicrous quantity you choose, for whatever private reason, a group of that many vectorlets can always be defined that combine to have precisely the magnitude and direction of the original single vector. Even though this fact is worth contemplating for a second or two, it's generally ignored, mainly because it is so useless in the practical sense ... it doesn't make a vector any easier to work with when it is replaced by 347 components, for example. The most useful number of components is: one for each dimension of the space in which the original vector lives. Two components to replace a vector on a flat graph, and three components to replace a vector in our world.
Vector may be resolved any number of components?
Vectros can come in any number of components when the component reflects a dimension. Vectors reflect dimensionality of the space. If the problem has three dimensions, three components are enough, two components are insufficient to handle the problem and 5 dimensions may be too much. Operations are also importnat, not just number of components. Only a few vector spaces provide division. if your problem needs division, 3 and 5 dimension vectors are not capable of division algebra. Only 1,2,4 dimension spaces have associative division algebras.
What is resolution vector?
A resolution vector is a mathematical concept used in linear algebra to represent a vector as a linear combination of basis vectors. It helps in analyzing the components of a vector along different directions in a vector space. By decomposing a vector into its resolution vector components, we can better understand its behavior and perform calculations more efficiently.
How many possible components can a single vector be resolved?
A vector can be resolved into infinitely many sets of components in both 2D and 3D space.
How many components have a vector?
It is the other way round - it's the vector that has components.In general, a vector can have one or more components - though a vector with a single component is often called a "scalar" instead - but technically, a scalar is a special case of a vector.
How many components can a vector have?
A vector can have as many components as you like, depending on how may dimensions it operates in.
A vector may be resolved into only two components?
No, a vector in 3-d space would normally be resolved into 3 components. It all depends on the dimensionality of the space that you are working within.
Can a magnitude of vector greater than its components?
Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.
Vector may be resolved into only three components?
A vector may be represented as a combination of as many components as you feel would satisfy you, without limit. Whatever ludicrous quantity you choose, for whatever private reason, a group of that many vectorlets can always be defined that combine to have precisely the magnitude and direction of the original single vector. Even though this fact is worth contemplating for a second or two, it's generally ignored, mainly because it is so useless in the practical sense ... it doesn't make a vector any easier to work with when it is replaced by 347 components, for example. The most useful number of components is: one for each dimension of the space in which the original vector lives. Two components to replace a vector on a flat graph, and three components to replace a vector in our world.
What are the components of a vector?
The components of a vector are magnitude and direction.
The components of a vector or what?
The components of a vector are magnitude and direction.
Vector may be resolved any number of components?
Vectros can come in any number of components when the component reflects a dimension. Vectors reflect dimensionality of the space. If the problem has three dimensions, three components are enough, two components are insufficient to handle the problem and 5 dimensions may be too much. Operations are also importnat, not just number of components. Only a few vector spaces provide division. if your problem needs division, 3 and 5 dimension vectors are not capable of division algebra. Only 1,2,4 dimension spaces have associative division algebras.
What is resolution of vector?
decomposition of a vector into its components is called resolution of vector
When will be the vector projection and vector components are same?
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
Vector may be resolved into only two components?
A vector may be represented as a combination of as many components as you feel would satisfy you, without limit. Whatever ludicrous quantity you choose, for whatever private reason, a group of that many vectorlets can always be defined that combine to have precisely the magnitude and direction of the original single vector. Even though this fact is worth contemplating for a second or two, it's generally ignored, mainly because it is so useless in the practical sense ... it doesn't make a vector any easier to work with when it is replaced by 347 components, for example. The most useful number of components is: one for each dimension of the space in which the original vector lives. Two components to represent a vector on a flat graph, and three components to represent a vector in our world.
