4. A line can either lie on a plane, lie parallel to it or intersect it....

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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 and plane given: L: x-7 2 = y-9 4 = z-4 3 T2 [x, 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. 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 and plane given: L: x-7 2 = y-9 4 = z-4 3 T2 [x, 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.