There ares several ways (including a direct formula) . One way:
A generic point of the line is
If is the point of the line to shortest distance from then,
.
"Find the shortest distance from the point P = P(-1,0,2) to the line given by the parametric vector equation
r = j - 2k + t(i + j + 3k)."
I have no clue with how to answer this question. I have considered on whether you would change the parametric vector equation into a Cartesian equation and somehow incorporate the point to find the distance from there although, it does sound a bit confusing to me. Moreover, how are you able to find the shortest distance? - As in, is there a particular approach to follow that allows you find the shortest distance from a point? It's something that I have not really come across in my course notes, lectures or textbook.