Easy calc 3 question: points on a plane

Thread starter meadow
Start date Sep 17, 2005
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Calc 3 Plane Points

AI Thread Summary

To determine which points lie on the plane defined by the equation 3(x-1)+4y-5(z+2)=0, substitute the coordinates of each point into the equation. If the equation holds true after substitution, that point lies on the plane. The discussion emphasizes that checking each point is straightforward and involves basic algebraic manipulation. The user expresses confusion about the initial steps but is reassured that substituting the points directly is the correct approach. Ultimately, verifying the points against the plane's equation will identify which ones are valid solutions.

Sep 17, 2005

meadow

The question asks:
Which of the points P(3,2,1), Q(2,3,1),R(1,4,1) lie on the plane
3(x-1)+4y-5(z+2)=0?

I know this is a pretty easy problem...but I am drawing a blank on where to start? Should I form vectors from each point ? If so, then what?

A little lost!

Thanks

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Sep 17, 2005

whozum

If the point lies on the plane, then it is a solution to the equation.

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