How to think of 3x3 matrices as transforming 3d space

An introduction to the quantum behavior of light, specifically the polarization of light. The emphasis is on how many ideas that seem "quantumly weird" are actually just wave mechanics, applicable in a lot of classical physics.

An introduction to the quantum behavior of light, specifically the polarization of light. The emphasis is on how many ideas that seem "quantumly weird" are actually just wave mechanics, applicable in a lot of classical physics.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

What is the dot product? What does it represent? Why does it have the formula that it does? All this is explained visually.

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

How to think of 3x3 matrices as transforming 3d space

Some foundational ideas in linear algebra: Span, linear combinations, and linear dependence.

How to think of 3x3 matrices as transforming 3d space

Master Newton’s law of universal gravitation through intuitive explanations, real-world examples, and full vector analysis. Learn how to calculate gravitational force, understand the inverse square law, and apply Newton’s third law in...

Learn how unit vectors i, j, and k simplify vector addition in a Cartesian coordinate system. Explore vector components, radians, and trigonometric tools essential for solving vector problems effectively

How do you write the linear combination of unit vectors? How do you write the unit vector in the same direction as a given vector? What are the standard unit vectors? This video answers all of these questions and tells you all the basics...

Explore the fascinating world of magnetism with today's lesson on the Biot-Savart Law! Join us at Flipping Physics as we delve into the equation that defines the infinitesimally small magnetic field (dB) created by current through a...

0:00 Intro

0:05 Ammeters and Voltm
eters
0:44 Magnetic Force on a Mov
ing Charge
1:12 The Right Hand Rule for
Magnetic Force
2:05 Torque on a Current Carrying Loop
in a Magnetic Field
2:22 Magnetic...

0:00 Intro

0:11 Circular Motion: Angular Velocity and Angular Accler
ation
0:37 Circular Motion: Centripetal Ac
celeration
0:56 Circular Motion: Arc Length, Tangential Velocity and Tangenti
al...

This video is a review of Two Dimensional Vectors. This video goes over unit vectors, standard unit vectors and direction of vectors.

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 6 intermediate examples are covered illustrating how to solve problems that make use of vectors in space.

This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.

Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...

This video goes over 8 examples illustrating how to find the cross product of two vectors in space by using both the geometric and component definition of the cross product.

Solving a basic projectile motion problem using unit vectors.

I derive the formula for Kinetic Energy and show that the total work done by all the forces acting on an object = 0.5 m (V2^2 - V1^2)

Circular Motion proof