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### 281 Lecture Graphs

 12.1 - 3D CoordinatesExample 3 - Distance between two coordinatesExample 4 - Parabola with z=3Example 7 - 3D inequalities and systems Example 8 - Volume inside cube but outside sphereExample 1 - Equal vectors from separate starting points 12.3 - The Dot ProductExample 3 - Angle between two vectorsExample 5 - Direction cosines and direction angles 12.4 - The Cross ProductExample 5 - Scalar triple product and the volume of a parallelepiped 12.5 - Equations of 3D Lines and PlanesExample 1 - 3D line based on direction vector and starting point Example 7 - Line of intersection between planes and the angle between planes 12.6 - Quadric SurfacesExample Overload! All quadric surface examples from lecture in one. 13.1 - Vector Functions and Space CurvesExample 4 - Space curve of intersection between surfacesExample 5 - Trefoil KnotExample 6 - Motion of Charged Particle in Electric/Magnetic Field13.2 - Calculus of Space CurvesExample 2 - Tangent line to a space curve13.3 - Arc Length and CurvatureExample 1,2,4,6,7 - Helix space curve, TNB frame, Osculating Plane, etc.13.4 - Motion in Space - Velocity and AccelerationJust For Fun - Home Run or Not? Adjust Initial Velocity and Elevation Angle 14.1 - Functions in Several VariablesExample 5 - Comparing Graph in R^3 to Contour Map on R^214.3 - Partial DerivativesExample 8/9 - Solutions to Laplace's equation and the Wave equation.14.4 - Tangent Planes and Linear ApproximationsExample 2 - Tangent plane to the elliptic paraboloid 14.6 - Directional DerivativesExample 2 - Graph of the tangent plane and tangent lines given by the partial derivatives and directional derivatives.14.7 - Minimum and Maximum ValuesExamples 1-4: Second Derivative Test15.1 - Double Integrals over RectanglesExample 2 - Using Iterated Integrals to calculate volume15.6 - Triple IntegralsExample 4 - Using Triple Integral to calculate volume 15.7 - Triple Integrals in Cylindrical CoordinatesExample 2 - Using triple integral to calculate volume16.1 - Vector FieldsExample 1 - Gravitational Field, A Conservative Vector Field 16.2 - Line IntegralsExample 1 - Evaluating a Line Integral16.6 - Parametric Surfaces and Their AreasExample 2 - Graph Parametric Surfaces in GeoGebra 16.6 - Parametric Surfaces and Their AreasExample 6 - Tangent Plane to Paraboloid16.8 - Stokes' TheoremExample 1 - Evaluating a line integral using a surface integral