Given the vector in angle-radius form? y-component=r sin(theta), x-component=r cos(theta)
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.
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 .
The magnitude of a vector can be found by taking the square root of each of the vector components squared. For example, if you had the vector 3i+4j, to find the magnitude, you take sqrt ( 3²+4² ) To get: sqrt ( 9+16 ) sqrt ( 25 ) = 5 Works the same in 3D or more, just put all the vector components in.
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.