Show that the curve C(t) = <a1, a2, a3>t2 + <b1, b2, b3>t + <c1, c2,...

Show that the curve C(t) = <a_1, a_2, a₃>t² + <b_1, b_2, b₃>t + <c_1, c_2, c₃> lies in a plane and find the equation for such a plane.

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