MES Links
Graphing a Hyperboloid of One Sheet in 3D https://youtu.be/a5SxZACKsoM In this video I graph a Hyperboloid of One Sheet, which has horizontal traces being ellipses and vertical traces being hyperbolas. #math #geometry #GeoGebra #STEM #science
Table of Computer Drawn Quadric Surfaces https://youtu.be/IJ0rl3jt_f4
In this video I go over a table of 6 basic quadric surfaces with computer-drawn graphs: ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, and a hyperboloid of two sheets.
#math #geometry #science #STEM #GeoGebra
In this video I go over a table of 6 basic quadric surfaces with computer-drawn graphs: ellipsoid, elliptic paraboloid, hyperbolic paraboloid, cone, hyperboloid of one sheet, and a hyperboloid of two sheets.
#math #geometry #science #STEM #GeoGebra
MES Links
Graphing a Shifted Elliptic Paraboloid in 3D https://youtu.be/d5FrR07zAHQ In this video I graph a shifted and horizontal elliptic paraboloid, which is a quadric surface that opens up along parabolic traces while the cross-section has elliptical traces. …
Applications of Quadric Surfaces: Telescopes, Car Headlights, Microphones, Nuclear Power Plants https://youtu.be/ceWkMHHr5gw
In this video I go over a quick overview of some of the many applications of quadric surfaces.
#math #geometry #GeoGebra #STEM #education
In this video I go over a quick overview of some of the many applications of quadric surfaces.
#math #geometry #GeoGebra #STEM #education
MES Links
Modeling Earth as an Ellipsoid https://youtu.be/N2HEZAjE54s In this video I model the Earth as an ellipsoid as used by the World Geodetic System of 1984 (WGS-84) since it is a more accurate model than a sphere. #math #geometry #Earth #science #GeoGebra
A Hyperbolic Paraboloid Can Be Generated by Straight lines https://youtu.be/-nxmXc1GD-U
In this video I show that a hyperbolic paraboloid can be generated entirely by two sets of lines, thus classifying it as a Ruled Surface. The only quadric surfaces that are ruled surfaces are cylinders, cones, and hyperboloids of one sheet.
#math #geometry #GeoGebra #STEM #education
In this video I show that a hyperbolic paraboloid can be generated entirely by two sets of lines, thus classifying it as a Ruled Surface. The only quadric surfaces that are ruled surfaces are cylinders, cones, and hyperboloids of one sheet.
#math #geometry #GeoGebra #STEM #education
MES Links
Vectors and the Geometry of Space: Cylinders and Quadric Surfaces https://youtu.be/k4EyLr4uOUA In this video I explore the wonderful world of cylinders and quadric surfaces. Cylinders are defined as a 3D surface that consists of all lines (called rulings)…
Vectors and the Geometry of Space: Review of Chapter https://youtu.be/VMKb69uDVt0
In this video I go over the end of chapter review questions covering the Vectors and the Geometry of Space chapter. There are 19 questions in total and serve as a good review on vectors, dot products, cross products, as well as the equations of lines, planes, and their applications.
#math #science #geometry #calculus #education
In this video I go over the end of chapter review questions covering the Vectors and the Geometry of Space chapter. There are 19 questions in total and serve as a good review on vectors, dot products, cross products, as well as the equations of lines, planes, and their applications.
#math #science #geometry #calculus #education
MES Links
The Dot Product and its Useful Properties https://youtu.be/-GBGMNRlous In this video I review the dot product formulas and its useful properties such as finding the angle between vectors and calculating work done on an object by a constant force. #math…
Scalar and Vector Projections: Formulas and Diagrams https://youtu.be/A_cwD8ck2ps
In this video I go over a quick review of the formulas for the scalar and vector projections of one vector onto another, as well as showing their visual representations.
#math #science #geometry #education #STEM
In this video I go over a quick review of the formulas for the scalar and vector projections of one vector onto another, as well as showing their visual representations.
#math #science #geometry #education #STEM
MES Links
Scalar and Vector Projections: Formulas and Diagrams https://youtu.be/A_cwD8ck2ps In this video I go over a quick review of the formulas for the scalar and vector projections of one vector onto another, as well as showing their visual representations. #math…
The Cross Product and its Useful Properties https://youtu.be/8GgG-1O_WvU
In this video I go over a review of the cross product, its definition and formulas, as well its many useful applications in mathematics and physics.
#math #science #education #geometry #STEM
In this video I go over a review of the cross product, its definition and formulas, as well its many useful applications in mathematics and physics.
#math #science #education #geometry #STEM
MES Links
The Cross Product and its Useful Properties https://youtu.be/8GgG-1O_WvU In this video I go over a review of the cross product, its definition and formulas, as well its many useful applications in mathematics and physics. #math #science #education #geometry…
Calculating Area of a Parallelogram and Volume of Parallelepiped with the Cross Product https://youtu.be/6wuT6abp-vo
In this video I show how the cross product can be used to determine the area of a parallelogram and the volume of a parallelepiped.
#math #science #education #geometry #STEM
In this video I show how the cross product can be used to determine the area of a parallelogram and the volume of a parallelepiped.
#math #science #education #geometry #STEM