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

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Homework Help Overview

The problem involves finding the scalar equation of a plane defined by a point A(3, 1, 2) and two vectors u = [-1, 3, 4] and v = [2, 0, -1].

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss testing the derived equation using the given point and points generated from the vectors. Questions arise regarding the validity of the checks performed and the reasoning behind expressions of gratitude in the conversation.

Discussion Status

The discussion reflects a mix of confidence in the solution provided and some questioning of the communication between participants. There is no explicit consensus on the correctness of the scalar equation, but attempts to verify it through various points have been mentioned.

Contextual Notes

Participants are navigating the verification of the equation based on the original point and vectors, with some expressing uncertainty about the necessity of further validation.

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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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