Movement of 2 particles Described by vectors

[LinearMan]

We have 2 particles A and B - velocity vectors: v(A)=(2; 0), v(B)=(0; 3).
In time t=0 these particles were in r(A)=(-3; 0), r(B)=(0. -3) (both are also vectors)
Determine a vector of the reciprocal position of A and B (means the position of one relative to the other). Compute time and length of maximal reprochement of A and B.


We work with vectors, so for better understanding i tried to put them into x-y coordinate system but a came across a problem with direction of v(A) and v(B). So I can't imagine the whole situation. I think next step will be to write r(A), r(B) as r(t), t=time

 

[haruspex]

Determine a vector of the reciprocal position of A and B.

Does that mean the position of one relative to the other?
Please post your attempt at solution. (See forum rules.)

 

[LinearMan]

Does that mean the position of one relative to the other?
Please post your attempt at solution. (See forum rules.)

yes, it does

 

[haruspex]

I think next step will be to write r(A), r(B) as r(t), t=time[/b]

Yes, that would be a good move. For clarity, use r_A(t), r_B(t). Then you can also write down r_B-A(t)