12. [-/0.1 Points] DETAILS SCALCET9 12.5.045. Find the point at which the line intersects the given plane. x = 3 - 3t, y = 4t, z =1+ t; x + 2y - z =6 (x, y, Z) =13. [40.1 Points] I DETAILS I SCALCETEI 12.5.!151 Consider the following planes. x+y+z=4, x+8y+82=4 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (m m) =(S > {in} Find the angle, in degrees rounded to one decimal place, between the planes. :h 14. [-/0.1 Points] DETAILS SCALCET9 12.5.051. Determine whether the planes are parallel, perpendicular, or neither. 2x + 8y - 62 = 1, -6x + 12y + 14z = 0 O parallel O perpendicular O neither If neither, find the angle between them. (Use degrees and round to one decimal place. If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)16. [-/0.1 Points] DETAILS SCALCET9 12.5.065. Find parametric equations for the line through the point (0, 3, 2) that is parallel to the plane x + y + z = 5 and perpendicular to the line x = 1 + t, y = 3 - t, z = 2t. (Use the parameter t.) ( x (t) , y (t ), z(t) ) =17. [-/0.1 Points] DETAILS SCALCET9 12.5.069. Let P be a point not on the line _ that passes through the points Q and R. The distance d from the point P to the line _ is d = axb lal where a = QR and b = QP. Use the above formula to find the distance from the point to the given line. (5, 1, -1); x = 2 + t, y = 2 - 3t, z = 4 - 2t d =18. [-/0.1 Points] DETAILS SCALCET9 12.5.071. Find the distance from the point to the given plane. (1, -7, 3), 3x + 2y + 67 = 519. [-/0.28 Points] DETAILS SCALCET9 12 Find the distance between the given parallel planes 3x - 4y + z = 9, 6x - By + 27 = 1