Multiplying a complex number by another complex number is accomplished using the distributive property to multiply the real and imaginary parts of the first number by the real and imaginary parts of the second number. In this lecture we...

This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the geometric definition of the cross product.

This video introduces the third way of multiplying vectors called the cross product also known as the vector product and sometimes refereed to as the area product. This video will cover the component definition of the cross product. A...

Master How to add, subtract and multiply a vectors by a scalar

Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...

Three people push on a door. We determine the net torque.

This video goes over the dot product also known as the scalar product. This video covers an application of the dot product specifically, the scalar projection, vector projection, and orthogonal projection.

Determine the unit vector given a vector with angle and magnitude

Master unit vector in the same direction of another vector with a given magnitude

Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.

This is not a proof video, this video just describes the easiest way to solve for dot products and cross products.

MATLAB is used to solve a set of linear equations (Ax=b) by inverting the matrix A and multiplying by the b vector. Three ways to solve A*x=b are:

x = inv(A)*b %
good
x = A\b
% better
x = linsol
SeeA,b) %...

This is a lecture presentation on vector addition and multiplication by scalars. The video explains how to add and subtract two vectors, find the resultant vector using the triangle rule and the parallelogram law of vector addition, and...

This video goes over a second application of the cross product and covers the basic concepts of torque which is also known as moment.

In this video, the presenter discusses the concept of translations in mathematics. The focus is on the operation of changing the position of shapes without changing their size, orientation or reflection. The presenter explains how...

SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...

The newest superhero on the block, Vector Man, faces his first challenge – a runaway train! This lesson will begin from the basics by introducing scalars and vectors.<br/>
Definitions included: scalar quantity, vector quantity

While Mark Brent snoozes through his alarms, Lotus Lang is hot on the missile’s trail. Can she catch the culprits? This lesson will compare and contrast speed and velocity.

Definitions included: speed, velo
city.
Equations:...

The video is a lecture presentation on vector geometry and the ratio theorem, with a focus on finding the centroid of a triangle. The presenter explains the concept of the centroid as the point of concurrency of a triangle and uses...

An important review highlighting differences between the equations for Conservation of Momentum, Impact Force and Impulse.

Mass is just a fancy sciency word for weight, right? Wrong! Although related, they aren't the same thing. You'd better find out exactly what the difference is so that you don't look foolish around the water cooler!

Relative motion is hard topic to grasp, but it's easier when you follow a certain outline: 1) Draw the velocity vectors 2) Find angles due to geometry 3) Draw all the velocity vectors together using formula Va/b = Va - Vb 4) Use the...

Python statistical functions such as average, maximum, minimum, standard deviation, and custom counting are demonstrated in an iPython notebook.

Master Applying operations to vectors that include the dot product