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3. We will Show that the curve with the following parametrization 11a; in a plane. r(t) = (t2 1,: 29,4 t) (a) Show that the

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3. We will Show that the curve with the following parametrization 11a; in a plane. r(t) = (t2 1,: 29,4 t) (a) Show that the points an the curve at t = O, t = 1, and t = 2 do not lie on a line. Then nd an equation of the plane that they determine. (b) Show that for all t, the points on C satisfy the equation of the plane from part (a)

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