Determine whether the points P(2,-3, 1), Q(-4, 1, 3) and R(8, -7,7) are collinear. Make sure to justify your answer with complete sentences and all supporting evidence. If the points are collinear find the parametric equations of the line passing through all these points. If the points are not collinear, find the area of APOR.

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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.