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Learning Goals (Unit 9) I will be able to … understand what is required to determine the equation of a plane determine the vector, parametric, and Cartesian (scalar) equations of a plane explain why there exists no symmetric equation for a plane calculate the angles between two intersecting planes determine several points on any given plane determine whether different equations represent the same plane determine whether two planes are parallel, coincident or intersecting by analyzing their normals determine the intersection, if any, of two planes determine the intersection, if any, of a line and a plane determine the intersection, if any, of three planes describe all possible scenarios of two planes and of three planes define coplanar normals and apply the formula in order to classify a system apply elementary operations in order to solve a system of three equations in three unknowns determine the distance from a point to a plane or the distance between two parallel planes describe the orientation of planes if one or more variables are missing from the scalar equation of a plane