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anonymous
 one year ago
Find the equation of the plane that passes through the point (2,3,1) and contains the line x(t)=4+4t, y(t)=43t, z(t)=1t
anonymous
 one year ago
Find the equation of the plane that passes through the point (2,3,1) and contains the line x(t)=4+4t, y(t)=43t, z(t)=1t

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adll23
 one year ago
Best ResponseYou've already chosen the best response.0In your analysis, you considered that line joining any point (x, y, z) of the plane and the point (6, 0, 2) is perpendicular to the given line which is not the case. The simplest way will be to take any two points of the line and with (6, 0, 2) as the third point, find the equation of the plane. t = 0 => (4, 3, 7) and t = 1 => (2, 8, 11) Find the equation of the plane containing points (4, 3, 7), (2, 8, 11) and (6, 0, 2) using the formula in the form of a determinant. Hope you can complete it from here.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm trying to find the equation of a place so wouldn't it be more useful to use points that are on the given line? also, when plugging in 0 and 1 I did not get the same points as you... plugging in zero should result it (4,4,1)
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