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3. Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a vector equation of the line. If the planes intersect in a point, determine the coordinates of the point. a. x + 2y + 3z = -4 2x + 4y + 6z = 7 x + 3y + 2z = -3 b. x + 2y + 3z = -4 2x + 4y +6z = 7 3x + 6y + 9z = 5 c. X + 2y + z = -2 2x + 4y + 2z = 4 3x + 6y +3z = -6 d. x -2y -2z = 6 2x - 5y + 3z = -10 3x - 4y + z = -1 e. x - y + 3z = 4 X+ y+ 2z = 2 3x + y+ 7z = 9