A plane contains the point A(3, 1, 2) and the vectors u = [-1, 3, 4]

AI Thread Summary
The discussion focuses on finding the scalar equation of a plane defined by the point A(3, 1, 2) and the vectors u = [-1, 3, 4] and v = [2, 0, -1]. The derived scalar equation is -3x + 7y - 6z + 14 = 0, which the user confirms is correct after testing it with various points derived from the parametric equations. The testing involved checking the original point and points obtained by adding the vectors u and v. There is some confusion regarding the need for validation, but the user expresses confidence in their solution. The discussion concludes with a focus on the correctness of the scalar equation derived.
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Homework Statement



A plane contains the point A(3, 1, 2) and the vectors u = [-1, 3, 4] and v = [2, 0, -1]. Find the scalar equation of this plane.

Homework Equations



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The Attempt at a Solution



I obtained:
-3x+7y-6z+14=0 (for the scalar equation).
Is this correct??
 
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so you tested it with the given pt? and then using the given pt + the u vector to get a new point and again with the v vector?
 
Yes, I used various points from the parametric equations to test, and it satisfied all. So I feel confident its right. Thanks anyways.
 
Why "thanks anyways"? If you checked thosed because jedishrfu suggested it, just thank him. If you had already checked, why did you ask?
 

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