## Vectors in Three Dimensional Geometry |

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altitude angle applications called Commutative Law coordinate geometry coordinate planes coplanar Corollary corresponding components define diagonal disks distance formula edges equation Euclidean geometry Euler's formula Exercise Figure following theorem force F frustum FZ-plane Geometric Interpretation geometric vector Given line Hence important theorem intersecting lines intersection contains joining the mid-points length magnitude line of action linear combination linearly dependent mathematics mid-point formula ometry opposite direction ordered triple origin parallel lines parallelogram perpendicular physical geometry plane geometry plane is determined plane perpendicular point in common polyhedron postuiational geometry precisely prism or cylinder Proof Denote proves the following quadrilateral real numbers represents result right circular cone scalar product scalar quantity segment sides Solid Analytic Geometry solid geometry sphere straight line student surface tetrahedron Theorem 6.4 undefined terms unit basis vectors unit vector vector analysis vector equals vector product vector sum VECTORS IN THREE vertex volume zero vector