i need some help with these questions. i understand how to graph, i need help developing the equations.

3. The equation of a plane can be determined using three points on the plane. (6 marks) a. Find the vector, parametric and general equations of the plane through the points (2, 3, 1), (3, 1, 6), and (5, 1, 2). b. Give the equation of a plane that crosses the axes at points equidistant from the origin. Explain your reasoning and include a LanGraph of your plane. 4. A line can either lie on a plane, lie parallel to it or intersect it. (6 marks) a. Determine, if there is one, the point of intersection between the line given by the following equation and plane 5077 y*9 274 2 4 3 and the plane given by the equation [as,y,z] = [5,4, 1[ + s[2,3,1] + t [4, 1, 2[ b. Determine the angle between the line and the plane. c. Give the equation of a plane and three lines, one of which is parallel to the plane, one of which lies on the plane, and one of which intersects the plane. Explain your reasoning and include a LanGraph