So in R³, given a line $G$ in parameter form and a point Q, how do I compute the line passing through Q that is orthogonal to $G$?
In order for two vectors to be orthogonal, the dot product has to be zero. Also, for a point to be located on a line, inserting the point into the line equation must result in equality, right? Not quite sure how to use this for the task.
A hint to get me on the right track would suffice