Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation. This video, which is suitable for high school students, starts with a black screen because the instructor, in his conversational tone, uses i...t as a 'chalkboard.' Instructor uses different colors for clarification.[more]

Expressing a vector as the scaled sum of unit vectors. This video, which is suitable for high school students, starts with a black screen because the instructor, in his conversational tone, uses it as a 'chalkboard.' Instructor uses different colors ...for clarification.[more]

More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method. This video, which is suitable for high school students, starts with a black screen bec...ause the instructor, in his conversational tone, uses it as a 'chalkboard.' Instructor uses different colors for clarification.[more]

A simple, introductory vector addition problem that combines the concepts of vectors, cardinal directions, tip-to-tail vector addition and component vectors.
Content Times:
0:14 Reading and understanding the problem.
1:25 Drawing the Vector Diagr...am.
2:28 A common mistake about where to place the arrowhead on the Resultant Vector.
3:39 This is NOT a Vector Diagram!
4:34 How NOT to solve the problem.
5:12 Breaking vector B in to its component in the y direction.
6:02 Breaking vector B in to its component in the x direction.
6:52 Redrawing the Vector Diagram using the components of vector B.
7:30 Finding the direction of our Resultant Vector.
8:35 Finding the magnitude of our Resultant Vector.
9:47 Summarizing the entire problem in 27 seconds.
10:19 The review.
Want Lecture Notes?
Next Video: Using a Data Table to Make Vector Addition Problems Easier
Previous Video: Introduction to Vector Components
1¢/minute[more]

This visually confusing tip-to-tail vector addition problem can be solved just like our previous problems. Give your vectors names, draw a vector diagram, break vectors in to components, redraw the vector diagram, create a data table, add columns an...d solve using basic trig.
Content Times:
0:14 Reading, visualizing, and translating the problem.
1:13 Drawing the vector diagram.
2:06 Breaking vector C in to its components.
3:22 Redrawing the vector diagram (twice).
4:16 Creating the data table.
4:53 Determining the components of the resultant vector, R.
5:33 Solving for vector R.
7:13 Visualizing the entire problem.
7:36 The Review.
Want Lecture Notes?
Previous Video: Using a Data Table to Make Vector Addition Problems Easier
1¢/minute[more]

Any vector addition problem can be made easier by using a data table; no matter how many vectors.
Content Times:
0:13 Reviewing the problem.
0:46 Starting the Data Table.
1:13 Filling in the table: Vector A
2:02 Filling in the table: Vector C
...2:33 Filling in the table: Vector B
3:11 Finding the Components of the Resultant Vector, R.
3:59 The Review
Want Lecture Notes?
Previous Video: Introductory Vector Addition Problem using Component Vectors
1¢/minute[more]

Many students struggle with understanding Cardinal Directions. So this is a very basic video describing how to use cardinal directions with vectors. (All “likes” are much appreciated. 😊)
Content Times:
0:12 Previous example summary
0:48 Two sug...gestions for working with Cardinal Directions
1:58 East of North = East “from” North
2:18 The 8 possible directions
3:51 Two equivalent ways to describe the same vector
4:51 NE, SE, SW, and NW
5:24 The review
Want Lecture Notes?
Next Video: Introduction to Vector Components
Previous Video: Introductory Tip-to-Tail Vector Addition Problem
1¢/minute[more]

Components of Vectors are an important piece to understand how vectors work. In this video we learn how to “break” or “resolve” vectors in to their component pieces.
Content Times:
0:14 The example displacement vector d
0:44 Finding the y compon...ent of vector d
2:17 Finding the x component of vector d
3:18 What does it mean to be a component of a vector?
4:14 A common question about vector components
4:51 Showing mathematically that the vector components add up to the vector
6:48 Explaining how d in the x direction shows both magnitude and direction
7:57 The Review
Want Lecture Notes?
Next Video: Introductory Vector Addition Problem using Component Vectors
Previous Video: How to use Cardinal Directions with Vectors
1¢/minute[more]

This is a very basic introduction to Tip-to-Tail Vector Addition using a motorized toy car that I made. Also included is an introduction to Vectors and Scalars, their definitions and some variable examples of Vectors and Scalars.
Content Times:
0...:11 Slow Velocity Racer!
0:48 Determining the speed of Slow Velocity Racer!
1:55 Which track for Slow Velocity Racer to move the fastest?
2:54 How fast will Slow Velocity Racer move between the two tracks?
3:18 How fast will Slow Velocity Racer move on the top track?
4:03 Tip-to-Tail Vector Addition
5:45 Defining Vectors
6:15 Defining Scalars
6:38 Variable Examples of Vectors
7:02 Variable Examples of Scalars
7:28 Montage of Examples of Scalars
8:18 Defining Magnitude
9:20 Scalars can be negative
9:56 The Review
Want Lecture Notes?
Next Video: Introductory Tip-to-Tail Vector Addition Problem
Previous Video: Don’t Drop Your Camera 5.0 Seconds After Liftoff
1¢/minute[more]

This is a very basic introductory to Tip-to-Tail Vector Addition Problem using a motorized toy car that I made. I don’t just talk about it in a general sense, I actually show the different vectors being added together.
Content Times:
0:16 Problem... introduction
0:36 Determining the velocity of the track
1:43 Defining our givens
3:08 Visual representation of our vectors
3:56 Slow Velocity Racer on the track
4:20 Drawing the resultant vector
5:03 Mathematically finding the magnitude of the resultant velocity vector
6:28 Mathematically finding the direction of the resultant velocity vector
8:45 Summarizing and understanding our results
9:20 49 + 42 = 65?
10:57 The Review
Want Lecture Notes?
Next Video: How to use Cardinal Directions with Vectors
Previous Video: Introduction to Tip-to-Tail Vector Addition, Vectors and Scalars
1¢/minute[more]

Please make your comments on categories positive, and not just negative.

People work hard on educational categories, and we want to encourage them to make more!

Profanity (curse words), sexually suggestive remarks, and other such obviously inappropriate comments
will be deleted immediately, and are grounds for immediate expulsion. Remember, children use this website.

Personal criticism on project forums and in video content is not allowed and will be deleted immediately.
Any violations of this rule could result in expulsion from the project so please, no insults or other negative
personal remarks.

Very harshly-worded criticism of content will also be deleted promptly. Please use your vote to express your
harshest feelings. Repeated violations of this rule can result in expulsion. If you must criticize another
person's hard work, then be nice about it.

People work hard on educational categories, and we want to encourage them to make more!