- #1

fluidistic

Gold Member

- 3,662

- 104

## Homework Statement

Consider the vector [tex]\vec A[/tex] whose origin is [tex]\vec r[/tex].

1)Express the vector [tex]\vec A[/tex] in a basis of Cartesian coordinates, cylindrical and spherical ones.

2)Repeat part 1) if the origin is [tex]\vec r[/tex] + [tex]\vec r_0[/tex].

## Homework Equations

None given.

## The Attempt at a Solution

1)In Cartesian coordinates, [tex]\vec A=(r_x+a_x,r_y+a_y, r_z+a_z)[/tex]. If we change the origin as in part 2), then [tex]\vec A=(r_x+r_{0x}+a_x,r_y+r_{0y}+a_y, r_z+r_{0z}+a_z)[/tex].

For cylindrical coordinates, I've sketched a 3 dimensional graphic but I don't see how I can express [tex]\vec A[/tex]. Life would be easier if I could use some linear algebra maybe. I just don't know how to start and if it's a good idea.

Thanks for any suggestion.