Determine an equation of the plane containing the following points: (2,0,2), (4,3,1), and (0,1,3).
Do I set up a cross-product?
Yes, we need a cross-product . . . but are you just guessing?Determine an equation of the plane containing the points: .
. . Do you have any idea why?
To write the equation of a plane, we need a point on the plane,
. . (we have 3 to choose from), and the normal vector of the plane, .
Then substitute into: .
We have: .
. . Then: .
Can you finish the problem now?