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FP3 Vectors

Can someone remind me the different ways of writing a vector plane and a vector line:

All I can remember is

(r-a) x b = 0
is the same as
r=a+ mb


and for a plane
r.n =d
is the same as
r= a +bm+cn

(where n= b x c)

What are the other ways of expressing and line and a plane??

thanks
Original post by mr.dowell

What are the other ways of expressing and line and a plane??


That about covers it.

You could note that in two dimensions r.n=d is the equation of a line, where n is perpendicular to the direction vector of the line.
For the line, you forgot about the cartesian form:

x-a/A = y-b/B =z-c/C

For the plane, the third possible format is ax+by+cz=k, where (a, b, c) denotes the vector normal to the plane.

Peace.

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