There is no maximum. A vector can be defined for a hyperspace with any number of dimensions. Such a hyperspace can be described using an orthogonal system of axes and the vector can be split into its components along each one of these axes.
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector
If all the components of a vector are zero, the magnitude of the vector will always be zero.
decomposition of a vector into its components is called resolution of vector
A vector can have as many components as you like, depending on how may dimensions it operates in.
The components of a vector are magnitude and direction.
The components of a vector are magnitude and direction.
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector
If all the components of a vector are zero, the magnitude of the vector will always be zero.
prrpendicular projections of a vector called component of vector
decomposition of a vector into its components is called resolution of vector
No. The components of a vector will change based on what coordinate system is used to express that vector.
NO, a vector will not be zero if one of its components will be zero.
A vector can have as many components as you like, depending on how may dimensions it operates in.
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.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.