In this lesson, students will learn how to prove the Pythagorean theorem using similarity. By investigating and following a series of steps, they will discover that by cutting a right triangle and drawing altitudes, they can create...

👉 Learn how to solve problems with kites. A kite is a four-sided shape (quadrilateral) with two equal pairs of adjacent sides and the diagonals are perpendicular. Some of the properties of kites are: each pair of adjacent sides are...

n this video we will learn how to recognize a quadrilateral as trapezium & kite based on their properties

A google and amazon interview question with a really clever solution

Although Gauss-Jordan Elimination is typically thought of as a purely algebraic process, when viewed geometrically, this process is beautiful and amazing, providing insights into the underlying mechanisms of the matrix transformations...

A book is resting on a board. One end of the board is slowly raised. The book starts to slide when the incline angle is 15°. What is the coefficient of static friction between the book and the incline?

You place a book on a 14° incline and then let go of the book. If the book takes 2.05 seconds to travel 0.78 meters, what is the coefficient of kinetic friction between the book and the incline?

👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...

👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...

In this video, we explore the screw-home mechanism of the knee joint that occurs near terminal knee extension in both open and closed-chain positions.

The video is a presentation on parallel and perpendicular lines. The speaker explains the key concepts of parallel and perpendicular lines, including their definition, equation, and properties. They also offer examples of how to...

Defining vectors as being orthogonal and orthonormal.

Understand the forces acting on an object on an incline by analyzing the forces on a “floating block”.

Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...

Postulates of Quantum Mechanics: Orthogonality of Wavefunctions

The video provides an introduction to the concepts of midpoint, parallel lines, and perpendicular lines in mathematics. The instructor explains how to calculate the midpoint of two points, the properties of parallel lines, and the...

👉 Learn all about writting the equation of a line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can write the...

Every criminal must pay for their crimes! But as Vector Man prepares to lock Carmen behind bars, a third player enters the game… This lesson will explain how to algebraically resolve a 2D vector into two perpendicular components, such...

In this video, students are taught how to identify geometric figures by observing their characteristics. The teacher explains the different types of angles, lines, and polygons, and demonstrates how to classify shapes based on their...

If you hold your feet flat or point them, does it change how far you slide. This video shows the answer and explains why using the concept of drag force.

👉 Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on...

Learn how to determine if two vectors are orthogonal, parallel or neither. You can setermine whether two vectors are parallel, orthogonal, or neither uxsing the dot/cross product or using the slope formula. Recall that two lines are...

Understand the relationships between rectangular and polar coordinates

This video explains about Pythagoras Theorem with the help of an activity.