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They intersecate on a plane

Is there a way to get an equation for that plane?

understand?

(4, 2, 0, 0) sorry

well span(u,v) is just the span of those vectors:
span{ (1, 0, 1, 0) , (-1, 0, 0, 1)}

oh, so (4,2,0,0)^T doesn't matter when expressing it in that form?

nope because it only depends on the free variables

okay thanks. is there a way to express that as an equation?