Few questions concerning vectors, not a clue where to start on these.

[knowlewj01]

Homework Statement

Ok, so here are the questions, I literally have no idea how to begin on them.

1.Show that the vector 2i+3j+3k is normal to the plane containing the points (1,1,-2), (4,2,-5) and (1,-1,0). Hence find the equation of the plane in the form
(r-a).n(hat)

what is the perpendicular distance from the origin to the plane?There are a couple more questions but i'll take them one at a time.

The Attempt at a Solution

Been looking through my notes for ages and on th internet, can't find anything that makes sense, anyone good with vectors? thanks :)

 

[latentcorpse]

construct aline lying in the plane using two of the given points and dot product it with the line you were given in the question - if they're orthogonal this will vanish.