I need some help with these two questions, does anyone know where to start?
Show that the points in R^3 equidistant from two fixed points p and q form a
plane, and find its equation.
Let p + tv, t in R be the parametric description of a line l and let q be a point
not on l. Show that the points (in R^3) which lie on a line through p + tv and q
(some variable t) make up a plane. What is its equation?