Let A, B,C be three points not lying on the same straight line. a. Which set of points P is described by the vector equation (AB x AC)· AP = 0? b. Find out whether the four points A(0,0, 1), B(1,0, 1), C(2, 1, 1), D(3, 1, 3) lie on the same plane.

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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.