Can a vector component be resolved into more components?

Question

Can a vector in any case can have a component perpendicular to it?

If yes, then can a force have a component perpendicular to it?

Answer 1

A Vector has 3 components in 3-D.

A component of vector is a scalar and it has the direction along the i,j or k axis. As scalar cannot have components, a vector component cannot be resolved into more components.

Answer 2

yes a component of a vector can also have component because the component is itself a vector. yes a force can have one of its component perpendicular to it . you must be guessing how it would be possible because let us not forget the other component of the force . let us consider a force is acting towards east . let us take the component 1 in south direction. then the component 2 is in the direction between north and east with any numerical value which again depends on the component 1.
now if you find the component of component 2 in the east direction withe same value as the first force then the other component of the component 2 will be in north direction and its value will be equal to the component 1 and hence both get cancelled . leaving you with the same force like the first force.

Answer 3

Yes.
For example the projection of a 3D vector on a plane is a 2D vector so this 3D vector is made up of an (x,y) vector component and a z vector component (2 components). The 2D vector can be further resolved into an x vector component and a y vector component.

Answer 4

sure...every vector in a 2-d or 3-d space can be represented as the sum of different vectors...therefore it can be resolved into more components

Answer 5

yes, since it is a vector, it wil allow other components to be formed, allowing easier calculations