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7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains the point A(-5,2, -4) and two direction vectors, AB = (4,8,1)and AC = (-3, -2,0). Which of the following statement(s) about this plane is/are true? Justify your answer. [4T, IC] i. The plane has a parametric equation that can be defined as follows: (x = -5+4t - 3s y = 2+8t - 2s Z =-4+t ii. The plane has a vector equation that can be defined as (x, y, z) = (-5,2, -4) + t(3,2,0) + s(4,8,1) iii. The point D(31,6,0) lies on the plane iv. The z-intercept of the plane is 0,0, -5)