Math

Circle Solutions

Determine whether the following trajectory lies on either a circle in RP or a sphere in R centered at the origin. If so, find the radius of the circle or sphere, and sho
that the position vector and the velocity vector are everywhere orthogonal.
r(t) = (2 sin 2t,2 cos 2t), for Ostst
Determine whether the following trajectory lies on either a circle in R2 or a sphere in R3 centered at the origin. Select the correct choice below and, if necessary, fil
the answer box to complete your choice.
A. The trajectory lies on a sphere with radius (Simplify your answer.)
B. The trajectory lies on a circle with radius (Simplify your answer.)
O C. The trajectory does not lie on a circle or a sphere.