1. The problem statement, all variables and given/known data Find a parametrization of the equation of the line formed by the points A, B, and P. A(2,-1,3) B(4,3,1) P(3,1,2) 2. Relevant equations x=x_0+v_1*t y=y_0+v_2*t z=z_0+v_3*t 3. The attempt at a solution Alright, so, I've already determined that P is equidistant from the points A and B, and therefore the center of a sphere. I'm having a hard time finding a parametrization since we're dealing with 3 points, as oppose to 2. If, for example, it asked for the parametrization of the equation of the line formed by A and P, I would find the vector AP, and then simply use A as my (x_0, y_0, z_0) and plug in the v-values as well. Since it's along the line formed by all three points, however, I'm a bit confused. Finding the vector AP suggests a line parallel to the line I'm setting up parameters for, but what about a third point? The point BP would be parallel to said line as well, but can I assume it's along the same line as AP, or is the fact that it's parallel sufficient? Even so, how do I include B in this? Hope this makes sense. Any help would be greatly appreciated! Thank you! EDIT// So I've just realized that PA and PB are anti-parallel. If that's the case, can I use just one or the other, and would either parametrization be correct?