Which of the points is closer to the plane - is this right?

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SUMMARY

The discussion revolves around determining which of the two points, P(0,0,0) and Q(-1,-2,0), is closer to the plane defined by the equation x + 7y - 15z = 30. The proposed method involves calculating the distances from each point to the plane using the distance formula. The correct approach requires evaluating the distances accurately rather than simply comparing magnitudes of the calculated expressions. The point with the lesser distance value is definitively closer to the plane.

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Damascus Road
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I have two points, P(0,0,0) and Q(-1,-2,0)

and a plane x + 7y - 15z = 30

May I simply:

[tex]\sqrt{(1-0)^{2} + (7-0)^{2} + (-15-0)^{2}}[/tex]

[tex]\sqrt{(1+1)^{2} + (7+2)^{2} + (15-0)^{2}}[/tex]

and the one with the lesser magnitude is closer?
 
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