- #1
Dvsdvs
- 24
- 0
the proposition is that if r(t) has a constant length (//r(t)// is constant), then prove that r(t) is perpendicular to dr/dt at all t.
I was thinking that if r(t) is just a function of the radius and its magnitude //r// is constant, then its basically talking about a circle? and by saying prove that r is perpendicular to dr/dt is basically asking to prove that the radius vector is always orthogonal to the velocity v(t) vector? I need a mathematical proof of this proposition using vectors. Thank, you
I was thinking that if r(t) is just a function of the radius and its magnitude //r// is constant, then its basically talking about a circle? and by saying prove that r is perpendicular to dr/dt is basically asking to prove that the radius vector is always orthogonal to the velocity v(t) vector? I need a mathematical proof of this proposition using vectors. Thank, you