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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.
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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.
What does rectangular component of a vector mean?
Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector. The reason for doing this is that vectors acting at right angles to one another do not affect one another.
Can a vector have a component greater than its magnitude?
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
What must you do to non-perpendicular vectors before you can use the Pythagorean theorem to calculate the resultant of the vectors?
You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.
What is gradient of a vector field?
It is the rate of change in the vector for a unit change in the direction under consideration. It may be calculated as the derivative of the vector in the relevant direction.
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.
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.
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.
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 does rectangular component of a vector mean?
Any vector can be "decomposed" into components along any two non-parallel directions. In particular, a vector may be decomposed along a pair (more in higher dimensional spaces) of orthogonal directions. Orthogonal means at right angles and so you have the original vector split up into components that are at right angles to each other - for example, along the x-axis and the y-axis. These components are the rectangular components of the original vector. The reason for doing this is that vectors acting at right angles to one another do not affect one another.
Does chickenpox have a vector?
No, chickenpox is a scalar, so while it is not a vector in and of itself, it may influence other vectors such as Ebola.
How can you add vector quantities?
You can add vectors graphically (head-to-foot). Mathematically, you can add the individual components. For example, in two dimensions, separate the vector into x and y components, and add the x-component for both vectors; the same for the y-component.Here it may be useful to note that scientific calculator have a special function to convert from polar to rectangular coordinates, and vice-versa. If you RTFM (the calculator manual, in this case), it may help a lot - a vector may be given in polar coordinates (a length and an angle); using this special function on the calculator can do the conversion to rectangular (x- and y-components) really fast.
What is the components of a vector?
Its either reality based (vertical is up-down, horizontal is ground distance) or it's purely arbitrary.
How do vectors add?
Just add their magnitudes. The combined vector will have the same direction as the original vectors.Just add their magnitudes. The combined vector will have the same direction as the original vectors.Just add their magnitudes. The combined vector will have the same direction as the original vectors.Just add their magnitudes. The combined vector will have the same direction as the original vectors.
Explain what is meant by a concurrent vectors?
A vector has 2 components - it's magnitude and direction. Concurrent vectors are 2 vectors that have the same direction but may have different magnitudes.
Can a vector have a component greater than its magnitude?
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
What must you do to non-perpendicular vectors before you can use the Pythagorean theorem to calculate the resultant of the vectors?
You must find the x and y components of each vector. Then you add up the like x components and the like y components. Using your total x component and total y component you may then apply the pythagorean theorem.
