Vector addition; spherical coordinates

Roodles01

Should be quite easy, really, given that it's just adding things together, hey ho.

Problem
a position vector of point (1), identified by sherical coordinates, is 5m away from point (2).
I have a unit vector R1,2 identified by spherical coordinates [Aex - Bey +Cez], giving the direction to point 2.
How do I find the position vector of point 2

Do I just add 5.0m to each element? Of course not, but how do I do it, please?

HallsofIvy

No, multiply your unit vector by 5 and add that.