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3Blue1Brown
Alice, Bob, and the average shadow of a cube
A story of problem-solving styles, with the central example of finding the average area for the shadow of a cube.
Math Fortress
Calculus III: Equations of Lines and Planes (Level 8) | Angle Between Planes
This is the eight video on the equations of lines and planes video series. In this video we will learn how to find the angle between two intersecting planes; we will also learn how to determine the equation of a line between two...
Math Fortress
Calculus III: Equations of Lines and Planes (Level 7) | Plane Examples II
This is the seventh video on the equations of lines and planes video series. In this video we go over 4 intermediate examples involving planes.
Math Fortress
Calculus III: Equations of Lines and Planes (Level 6) | Plane Examples I
This is the sixth video on the equations of lines and planes video series. In this video we will compare the equations of lines and planes in space. This video will also cover 4 basic examples involving planes.
Math Fortress
Calculus III: Equations of Lines and Planes (Level 5) | Vector, Scalar, and Parametric Equations
This is the fifth video on the equations of lines and planes video series. In this video we derive the vector equation of a plane, the scalar equation of a plane and parametric equations of a plane in space.
Zach Star
A surprising topological proof - You can always cut three objects in half with a single plane
Zach Star demonstrates a surprising topological proof - you can always cut three objects in half with a single plane
Professor Dave Explains
Stokes's Theorem
Stokes's Theorem is kind of like Green's Theorem, whereby we can evaluate some multiple integral rather than a tricky line integral. This works for some surface integrals too. Let's see how it works!
Virtually Passed
Reflection Matrix Proof
The mirror matrix (or reflection matrix) is used to calculate the reflection of a beam of light off a mirror. The incoming light beam * the mirror matrix = outgoing light beam.
Animations made usi
ng manim....
Animations made usi
ng manim....
Zach Star
The real world applications of the dot product
The real world applications of the dot product
Khan Academy
Khan Academy: Linear Algebra:defining a Plane in R3 With Point and Normal Vector
Video shows how to define a plane in R3 using a point on the plane and a normal vector to the plane. Includes a visual representation to help understanding. [13:53]
Khan Academy
Khan Academy: Calculus: Constructing a Unit Normal Vector to a Curve
Video showing how to construct the unit normal vector for any point on a curve by first finding the tangent vector, using it to find any normal vector and from there finding the unit normal vector. [10:08]
Khan Academy
Khan Academy: Vector Dot and Cross Products: Normal Vector From Plane Equation
Video finding the normal vector to a plane using its equation by first visualizing the vector and the plane and then solving for it.
Khan Academy
Khan Academy: Linear Algebra:defining a Plane in R3 With Point and Normal Vector
Video shows how to define a plane in R3 using a point on the plane and a normal vector to the plane. Includes a visual representation to help understanding. [13:53]
Khan Academy
Khan Academy: Vector Dot and Cross Products: Distance Between Planes
This video demonstrates a problem about the distances between two planes.
Khan Academy
Khan Academy: Defining a Plane in R3 With a Point and Normal Vector
This video shows the equation for a plane in R3 using a point on the plane and a normal vector.