Hi

So I need to find the distance between the point K=(1 0 -1)T and the line F determined by the following points (1 -2 2)T and (-2 4 -4)T.

I've determing the vector line to be F=(-3 6 -6)T.

I must use projections, but am confused because the only formula I can find anywhere for projections seems to involve two vector lines. Is there a formula for a point and a line in 3D?

Also, I'm supposed to find the nearest point on F to R. Wouldn't that be the same as the first question because using projections finds the perpendicular line and therefore the closest?

Thank you to anybody who can shed light onto this. Any explanations of projections or if anybody knows any good websites would be much appreciated. Thanks!