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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: Finding a basis''
by Ziosilvio on 2009-11-04 12:52:31 |
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| Hello,
> Find a basis for the plane x-2y+3z=0 in R^3. Then find a
> basis for the intersection of that plane with the xy plane.
> Then find a basis for all vectors perpendicular to the
> plane. I was thinking about finding some points in the
> plane to form a matrix for starters. Thanks for any help.
For first point:
Any two *independent* vectors satisfying the equation of the plane shall work.
For second point:
Intersection of planes in R^3 is either a plane or a line.
Does the first plane coincide with the plane XY?
If not, how are vectors in the plane XY made?
For third point:
What is the *meaning* of the cartesian equation of a plane in R^3?
Best regards,
Silvio |
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