How hard can it really be to decode alien physics and engineering? It’s gotta map to our own physics - I mean, we live in the same universe. We start by noticing that the alien technology seems to use good ol’ fashioned electronics, even...

How to visualize quaternions, a 4d number system, in our 3d world

The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.

How to visualize quaternions, a 4d number system, in our 3d world

How to think about this 4d number system in our 3d space.

The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.

The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.

The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.

Divergence, curl, and their relation to fluid flow and electromagnetism

The formula for the cross product can feel like a mystery, or some kind of crazy coincidence. But it isn't. There is a fundamental connection between the cross product and determinants.

Intuitions for divergence and curl, and where they come up in physics.

The cross product is a way to multiple to vectors in 3d. This video shows how to visualize what it means.

Divergence, curl, and their relation to fluid flow and electromagnetism

In this video Paul Andersen explains how a charge particle will experience a magnetic force when it is moving through a magnetic field. The right-hand rule is described as a method for determining the direction of the force. The...

What happens if you multiply things that aren't numbers? And what happens if that multiplication is not associative?

New ReviewIn this video I am going to explain how to set up and solve a proper percentage word problem.

New ReviewIn this video I am going to show you how to determine what the missing number is given the percent.

New ReviewIn this video I am going to work through a common mistake I see students make when solving rational equations.

New ReviewIn this video I am going to cover the most common percentage math problems you need to know and should expect to see.

New ReviewIn this video I am going to work through three different examples of mistakes students make with Rational functions. From Simplifying rational expressions to graphing rational functions to solving rational equations.

This content provides a step-by-step solution for calculating the torque on a particle about the origin, given its position vector and an applied force vector, using unit-vector notation. It then demonstrates how to find the angle...

This content defines torque for a particle moving along any trajectory relative to a fixed point, not just a fixed axis. It establishes torque as the vector cross product τ=r×F, explaining its direction using the right-hand rule and its...

This content introduces the concept of torque as the twisting or turning force that causes rotation, explaining its dependence on the applied force and the perpendicular distance from the axis of rotation. It delves into calculating...

Learn how to compute the cross product of two vectors, its direction using the right-hand rule, and how it represents the area of a parallelogram. Understand the vector product formula and apply it using i, j, k notation.