Hey guys, quick question. If a plane passes through the points (a,b,c) and (d,e,f), and is parallel to the vector (3,2,1). Am i right in assuming the vector equation for the plane will be (x,y,z) = (a,b,c) + [(d,e,f) - (a,b,c)]s + (3,2,1)s. Thanks
Hey guys, quick question. If a plane passes through the points (a,b,c) and (d,e,f), and is parallel to the vector (3,2,1). Am i right in assuming the vector equation for the plane will be (x,y,z) = (a,b,c) + [(d,e,f) - (a,b,c)]s + (3,2,1)s. Thanks
If it passes through points and then is also a vector it is parallel to.
I suppose you could combine them into:
EDIT:
But I'm not sure why you would use such an elaborate method.
You could use either one of those equations as well. If this plane passes through both points, and is parallel to a certain vector then you only need one of those points and the vector it's parallel to.
Nearly! You have to use a 2nd variable. (see my correction in red)
That's correct!
Maybe I don't understand your reply correctly but in general the equations you gave represent straight lines which are placed in the plane you are looking for.
I suppose you could combine them into:
EDIT:
But I'm not sure why you would use such an elaborate method.
You could use either one of those equations as well. If this plane passes through both points, and is parallel to a certain vector then you only need one of those points and the vector it's parallel to.