Introducing the concepts of subspaces and span.

The user is unfamiliar with the vector container, wishes to know more about them, and when to use them.

• Begin by introducing the user to the vector, discussing how it
works
• Inform the user of the pros and cons of...

👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...

In this video series I will show you how to apply the dot product of two vectors and use the product to determine if two vectors are orthogonal or not. The dot product does not produce another vector like scalar multiplication but rather...

How to graph a polar point with a negative angle

in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...

Different representations of polar points with negative radius and angle

Master How to apply the dot product between two vectors

Lisa, are you serious? Alright, just one more favor. This one is a little trickier than the previous, because there is some trigonometry involved, beyond the kinematics and friction from the previous problems. What will become of your...

This video is a review of Two Dimensional Vectors. This video goes over the basic concepts and terminology of vectors in a plane. Topics include: Vectors, Magnitude of a Vector, Equivalent Vectors, and Vector Notation. This video also...

Given certain parameters, how would you solve this problem in Y direction?<br/>
Newton's Laws Of Motion With Friction, Part 2

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 3 basic examples are also covered illustrating how to solve problems that make use of vectors in space.

Find the actual speed and bearing using vectors

The application of Newton’s Second Law is when you really understand what the net force equals mass times acceleration where both force and acceleration are vectors really means. Therefore, we introduce Newton’s Second Law and then do...

Master Sketching a vector in component form and as a linear combination

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

Based on previous results, how would solve the next part of the problem and express it in terms of magnitude and angle?<br/>
Scalers and Vectors, Part 5

in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...

Find if the vectors are Parallel, Orthogonal or Neither

Find the direction and magnitude of the resultant vector of two forces

The listener is new to algorithms and does not know about the equals sequence algorithm.

• Introduce the listener to the equals algo
rithm
• Show how it works and explain the different versions
available
• Reinforce...

Master How to find the unit vector

Master Learn how to find the direction of a vector

This video goes over various algebraic properties of the cross product. Proofs of these properties are also presented as well as 4 examples.