How to find a point on a curve at which the tangent vector is parallel to the radius vector?

I am confused as to how to find a point on any given curve at which the tangent vector is parallel to the radius vector. For example, the curve is represented as r(t) = (1-8t)i+t^2j+2e^(2t) k. A detailed and comprehensive solution would be great. Thank you in advance for your time and efforts.