MES Links
Determining if 3 Points Lie on the Same Line Using the Cross Product https://youtu.be/S1khfWCF1u4 In this video I go over a method for determining if 3 points lie on the same line by using the cross product of any 2 position vectors formed from the points.…
Four Points are on a Plane if the Scalar Triple Product is Zero https://youtu.be/wjLcU4VIGFE
In this video I illustrate a method for determining of 4 points lie on the same plane by checking if their scalar triple product (or volume of a parallelepiped) is zero. If it is zero then it means the volume of the parallelepiped spanned by the position vectors between the 4 points is zero, aka a flat plane.
#math #science #geometry #education #STEM
In this video I illustrate a method for determining of 4 points lie on the same plane by checking if their scalar triple product (or volume of a parallelepiped) is zero. If it is zero then it means the volume of the parallelepiped spanned by the position vectors between the 4 points is zero, aka a flat plane.
#math #science #geometry #education #STEM
MES Links
Four Points are on a Plane if the Scalar Triple Product is Zero https://youtu.be/wjLcU4VIGFE In this video I illustrate a method for determining of 4 points lie on the same plane by checking if their scalar triple product (or volume of a parallelepiped) is…
Distance from a Point to a Line using the Cross Product https://youtu.be/-ie6FTLTH0E
In this video I go over a method for determining the shortest distance between a point and a line in 3D by using the length of the cross product and the area of a parallelogram.
#math #science #geometry #education #STEM
In this video I go over a method for determining the shortest distance between a point and a line in 3D by using the length of the cross product and the area of a parallelogram.
#math #science #geometry #education #STEM
MES Links
Distance from a Point to a Line using the Cross Product https://youtu.be/-ie6FTLTH0E In this video I go over a method for determining the shortest distance between a point and a line in 3D by using the length of the cross product and the area of a parallelogram.…
Distance from a Point to a Plane using the Dot Product https://youtu.be/-V6F0OpS5M8
In this video I go over a quick recap on the formula for determining the shortest distance between a point and a plane in 3D. The formula is just the projection of any position vector from the plane to the point onto the normal vector of the plane, and involves their dot product.
#math #science #geometry #STEM #education
In this video I go over a quick recap on the formula for determining the shortest distance between a point and a plane in 3D. The formula is just the projection of any position vector from the plane to the point onto the normal vector of the plane, and involves their dot product.
#math #science #geometry #STEM #education
MES Links
Distance from a Point to a Plane using the Dot Product https://youtu.be/-V6F0OpS5M8 In this video I go over a quick recap on the formula for determining the shortest distance between a point and a plane in 3D. The formula is just the projection of any position…
Distance Between Intersecting Lines, Parallel Lines, and Skew Lines https://youtu.be/hWqpXXNZK0U
In this video I discuss how to determine the distance between two lines for each of the 3 possible cases: intersecting lines, parallel lines, and skew lines (which don't intersect and are not parallel).
#math #science #geometry #education #STEM
In this video I discuss how to determine the distance between two lines for each of the 3 possible cases: intersecting lines, parallel lines, and skew lines (which don't intersect and are not parallel).
#math #science #geometry #education #STEM
MES Links
Distance Between Intersecting Lines, Parallel Lines, and Skew Lines https://youtu.be/hWqpXXNZK0U In this video I discuss how to determine the distance between two lines for each of the 3 possible cases: intersecting lines, parallel lines, and skew lines (which…
Traces of a Surface: Review and Example on an Ellipsoid whose Traces are Ellipses https://youtu.be/w72pnqHHbAA
In this video I review traces of a surface, which are curves of intersection of a surface with planes parallel to the coordinate (x, y, z) planes.
#math #science #geometry #STEM #education
In this video I review traces of a surface, which are curves of intersection of a surface with planes parallel to the coordinate (x, y, z) planes.
#math #science #geometry #STEM #education
MES Links
Traces of a Surface: Review and Example on an Ellipsoid whose Traces are Ellipses https://youtu.be/w72pnqHHbAA In this video I review traces of a surface, which are curves of intersection of a surface with planes parallel to the coordinate (x, y, z) planes.…
Equations of the Six Types of Quadric Surfaces https://youtu.be/0pCWT-FbmuY
In this video I review the standard form equations of the 6 types of quadric 3D surfaces: ellipsoid, cone, elliptic paraboloid, hyperboloid of one sheet, hyperbolic paraboloid, and hyperboloid of two sheets.
#math #science #geometry #education #STEM
In this video I review the standard form equations of the 6 types of quadric 3D surfaces: ellipsoid, cone, elliptic paraboloid, hyperboloid of one sheet, hyperbolic paraboloid, and hyperboloid of two sheets.
#math #science #geometry #education #STEM
Point-To-Line Distance Formula: Geometric Proof #2 https://odysee.com/@mes:8/point-to-line-distance-formula-2:b
#math #science #geometry $LBC #education
#math #science #geometry $LBC #education
Odysee
Point-To-Line Distance Formula: Geometric Proof #2
In this video I go over yet another video on deriving the distance formula between a line and a point. This time I solve it using a second Geometric Proof which is very similar to the first method but...
MES Links
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…
Vectors and the Geometry of Space: Problems Plus https://youtu.be/4x6uh1zQ-M0 - notes - playlist
In this video I go over the end-of-chapter Problems Plus advanced math problems for the Vectors and Geometry of Space chapter. There are 8 problems in total and cover 3D geometry, surfaces, vectors, vector projections, and applications to physics and airplane dynamics. It's 4 hours of advanced math so buckle up!
#math #science #physics #geometry #calculus
In this video I go over the end-of-chapter Problems Plus advanced math problems for the Vectors and Geometry of Space chapter. There are 8 problems in total and cover 3D geometry, surfaces, vectors, vector projections, and applications to physics and airplane dynamics. It's 4 hours of advanced math so buckle up!
#math #science #physics #geometry #calculus
MES Links
Vectors and the Geometry of Space: Problems Plus https://youtu.be/4x6uh1zQ-M0 - notes - playlist In this video I go over the end-of-chapter Problems Plus advanced math problems for the Vectors and Geometry of Space chapter. There are 8 problems in total and…
Problems Plus 1: Tightly Packed Balls in a Box (and Tightly Packed Circles in a Square) https://youtu.be/Rs8YkurKjCM - notes - playlist
In this video I determine the radius of 9 balls that are tightly packed inside a box. I first solve the 2D case by solving for the radius of 5 circles tightly packed inside a square.
#math #science #education #geometry #STEM
In this video I determine the radius of 9 balls that are tightly packed inside a box. I first solve the 2D case by solving for the radius of 5 circles tightly packed inside a square.
#math #science #education #geometry #STEM
MES Links
Problems Plus 1: Tightly Packed Balls in a Box (and Tightly Packed Circles in a Square) https://youtu.be/Rs8YkurKjCM - notes - playlist In this video I determine the radius of 9 balls that are tightly packed inside a box. I first solve the 2D case by solving…
Problems Plus 2: Volume Around a Box (and Area Around a Rectangle) https://youtu.be/bNZyuUB0D4w - notes - playlist
In this video I determine the volume of a region whose distance is at most 1 from a box. To understand how to solve this, I solve the 2D case first and solve the area around a rectangle.
#math #science #education #geometry #STEM
In this video I determine the volume of a region whose distance is at most 1 from a box. To understand how to solve this, I solve the 2D case first and solve the area around a rectangle.
#math #science #education #geometry #STEM