3. (15 points) a) Determine whether the two planes whose equations are r+y-z = 2 and...

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3. (15 points) a) Determine whether the two planes whose equations are r+y-z = 2 and 3x-4y + 5z = 6 intersect and if so find the parametric equation and the symmetric equations of the line of intersection. b) Determine whether the line found in part a) intersects the plane -z + 3y + 2z = 5, and if so find the coordinates where it intersects. e) Determine whether the line whose symmetric equations are=y=2 and the plane whose equation is 3x9y+ 2z - 7 = 0 intersect and if so find the point of intersection and angle with which the line intersects the plane. 3. (15 points) a) Determine whether the two planes whose equations are r+y-z = 2 and 3x-4y + 5z = 6 intersect and if so find the parametric equation and the symmetric equations of the line of intersection. b) Determine whether the line found in part a) intersects the plane -z + 3y + 2z = 5, and if so find the coordinates where it intersects. e) Determine whether the line whose symmetric equations are=y=2 and the plane whose equation is 3x9y+ 2z - 7 = 0 intersect and if so find the point of intersection and angle with which the line intersects the plane.

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