Consider the plane P with the Cartesian equation 8x + 7y + 142 = -32. (a) Express the above Cartesian equation as a parametric vector form with parameters s, te R. P G, where s, t ER. Syntax advice: Enter your answer using Maple syntax for vectors. For example, to input the parametric vector form for the plane you can either type +s*+t* or (b) Using your result from (a), or otherwise, find a normal vector n to P. n = Syntax advice: Enter your answer using Maple syntax for vectors. -8 For example, to input the vector , you can type (c) Hence, the minimum distance from the point D(30, 0, -24) to the plane P is Syntax advice: Recall that the Maple syntax for - 1 is 1/sqrt (2) V2