What Are the Properties of the Commutator in the Dilation Operator?

[Keyoke]

Homework Statement

Concicer the dilation operator

D = \vec{r} * \vec{p}

Compute [D,\vec{r} ] and [D, \vec{p}]

Homework Equations

p = - i * hbar

The Attempt at a Solution

I think the question is really if [D, \vec{r}] commutes

I got this:
D = \vec{r} * \vec{p}
D = x p_x + y p_y + z p_z


for the x direction:

[D, r] = [D, x] = [x, x p_x]

where do i take it from here?

 

[dextercioby]

You have absolutely no idea ?? Pick up your book and find those brackets (called <commutator>) and the properties they have.