Search
- Filter Results
- Location
- Classification
- Include attachments
- https://math.libretexts.org/Bookshelves/Calculus/Vector_Calculus_(Corral)/01%3A_Vectors_in_Euclidean_Space/1.06%3A_SurfacesA plane in Euclidean space is an example of a surface, which we will define informally as the solution set of the equation F(x,y,z)=0 in R3, for some real-valued function F. For example, a plane give...A plane in Euclidean space is an example of a surface, which we will define informally as the solution set of the equation F(x,y,z)=0 in R3, for some real-valued function F. For example, a plane given by ax+by+cz+d=0 is the solution set of F(x,y,z)=0 for the function F(x,y,z)=ax+by+cz+d. Surfaces are 2-dimensional. The plane is the simplest surface, since it is "flat''. In this section we will look at some surfaces that are more complex, the most important of which are spheres and the cylinders
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_III%3A_Series_and_Vector_Calculus/04%3A_Vectors_in_Space/4.02%3A_Vectors_in_Three_DimensionsTo expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensio...To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensional Cartesian coordinate plane into three dimensions.
- https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/09%3A_Geometry/9.02%3A_PolygonsThe sum of the three angles of a triangle is 180°. One of the angles has a measure of 90° as it is a right triangle. Since the sum of the interior angles of any triangle is 180° and there are two tria...The sum of the three angles of a triangle is 180°. One of the angles has a measure of 90° as it is a right triangle. Since the sum of the interior angles of any triangle is 180° and there are two triangles in a quadrilateral, the sum of the angles for each quadrilateral is 360°.
- https://math.libretexts.org/Courses/City_College_of_San_Francisco/CCSF_Calculus/12%3A_Vectors_in_Space/12.03%3A_Vectors_in_Three_DimensionsTo expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensio...To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensional Cartesian coordinate plane into three dimensions.
- https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/12%3A_Geometria/12.03%3A_Volumen_de_Solidos_GeometricosVivir en un mundo bidimensional sería bastante aburrido. Agradecidamente, todos los objetos físicos que ves y usas todos los días —computadoras, teléfonos, autos, zapatos— existen en tres dimensiones....Vivir en un mundo bidimensional sería bastante aburrido. Agradecidamente, todos los objetos físicos que ves y usas todos los días —computadoras, teléfonos, autos, zapatos— existen en tres dimensiones. En el mundo de la geometría, es común ver figuras tridimensionales. Los poliedros son formas que tienen cuatro o más caras, siendo cada una un polígono. Estos incluyen cubos, prismas y pirámides. A veces incluso se pueden ver figuras individuales que son compuestos de dos de estas figuras.
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_223_Calculus_3/01%3A_Vectors_in_Space/1.02%3A_Vectors_in_Three_DimensionsTo expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensio...To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensional Cartesian coordinate plane into three dimensions.
- https://math.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q3/04%3A_Vectors_in_Space/4.03%3A_Vectors_in_Three_DimensionsTo expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensio...To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensional Cartesian coordinate plane into three dimensions.
- https://math.libretexts.org/Courses/University_of_Maryland/MATH_241/01%3A_Vectors_in_Space/1.03%3A_Vectors_in_Three_DimensionsTo expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensio...To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensional Cartesian coordinate plane into three dimensions.
- https://math.libretexts.org/Courses/Mission_College/Math_4A%3A_Multivariable_Calculus_(Kravets)/01%3A_Vectors_in_Space/1.03%3A_Vectors_in_Three_DimensionsTo expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensio...To expand the use of vectors to more realistic applications, it is necessary to create a framework for describing three-dimensional space. This section presents a natural extension of the two-dimensional Cartesian coordinate plane into three dimensions.
- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Math_For_Liberal_Art_Students_2e_(Diaz)/06%3A_Geometry/6.03%3A_Volume_of_Geometric_SolidsLiving in a two-dimensional world would be pretty boring. Thankfully, all of the physical objects that you see and use every day—computers, phones, cars, shoes—exist in three dimensions. In the world ...Living in a two-dimensional world would be pretty boring. Thankfully, all of the physical objects that you see and use every day—computers, phones, cars, shoes—exist in three dimensions. In the world of geometry, it is common to see three-dimensional figures. Polyhedrons are shapes that have four or more faces, each one being a polygon. These include cubes, prisms, and pyramids. Sometimes you may even see single figures that are composites of two of these figures.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_165_College_Algebra_MTH_175_Precalculus/07%3A_Further_Applications_of_Trigonometry/7.04%3A_Vectors_in_Three_DimensionsA revisit of an introduction to vectors, but in 3 dimensions rather than two.
