2 Topics in 3D Geometry Intwodimensionalspace,wecangraphcurvesandlines. Inthreedimensional space, there is so much extra space that we can graph planes and surfaces in addition to lines and curves. Here we ...
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...Topics in d geometry intwodimensionalspace wecangraphcurvesandlines inthreedimensional space there is so much extra that we can graph planes and surfaces addition to lines curves here will have a very brief introduction three dimensions just as it easy write the equation of line plane point normal vector perpendicular said be called or simply need p x y z on n b c let then q lies thevector pq pqand nareperpendicular definition contains has example determined by points find which an solution ab ac isanormaltotheplaneandwetakea you choose instead if want form equivalently observe coecients are v parallel thevectorequation t r where scalar ta tb tc parametric derived from theparametricequation l passes through take equations surface often too dicut draw but sketch few special types whose graphs visualize cylindrical thegraphindspaceofanequationcontaining only one two variables plot quadric second degree ellipse parabola hyperbola six ellipsoid elliptic cone paraboloid hyperbolic parabolid...