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I was just thinking, say, I have a plane with the equation x + 3y + 2z = 0. How would I go about finding two vectors in that plane (that are not parallell)?

Sidenote: I pretty much get the intuition of how a plane with the given equation would look but what would happen if x + 3y + 2z ≠ 0? How would that plane look?

Thanks in advance!