1. ## Identify the surface

Could someone please explain to me what the surface generated by the equation $
r.u = m\left| r \right|
$
is?
Note: m is a positive, fixed scalar, less than 1 and u is a fixed unit vector.

Help would be greatly appreciated.

2. Originally Posted by free_to_fly
Could someone please explain to me what the surface generated by the equation $
r.u = m\left| r \right|
$
is?
Note: m is a positive, fixed scalar, less than 1 and u is a fixed unit vector.

Help would be greatly appreciated.
assuming $0< m\le 1$ it looks like a (half cone technicaly I suppose) cone to me, with cone half-angle $\arccos(m)$ and axis $\bold{r}$

CB