Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two planes. (Round your answer to two decimal places.) (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.) Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) X - 1 y + 1 4x + 7y 10, = z - 3 -4 (х, у, 2) %3D Determine whether the line lies in the plane. The lin ---Select--- lie in the plane. does does not Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to (0, 7, 0) n = -8i + 7k Find an equation of the plane with the given characteristics. The plane passes through the points (4, 2, 1) and (-1, 7, 4) and is parallel to the z-axis. Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given by x- y +z = 6. (х, у, 2) %3

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