Consider the planes II : 3z – y+ 2z=1, Il2 : -9z + 3y – 6z = 24 and the line of parametric equations L: 1= -4+ 2t, y = 3+t, z= 5 – 3t, teR. a) Show that II, and II, are parallel planes and calculate the distance between them. b) Compute the coordinates of the point of intersection between the plane II, and the line C.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.