This video introduces vectors, what they are and how to graph them. Then we go through every operation you can do on vectors, except that we'll do them all by graphing: addition, subtraction, multiplication by scalar, translation.
Adding, Subtracting & Multiplying Vectors
From now on we'll mostly be dealing with vectors mathematically, using the (x,y) or (x,y,z) ordered pair form to add and subtract.
The Dot Product and Scalar Product
Both these terms refer to the same process. By doing a sort of FOIL on two vectors we can find out if they're perpendicular, which is awesome because... Uh, well, at least you'll be able to answer the question on the test.
Magnitude & Unit Vectors
The magnitude symbols look like absolute value -- |v| -- but it just means length of the vector. In this video we'll cover that, as well as how to use magnitude to calculate the Unit Vector, which is just a vector that's only one unit long.
Components of Vectors
In this video we take a look at what to do when you're given a vector's magnitude and direction (an angle), and asked to find the vector's X & Y components. We also cover how to add vectors when all you've got is their magnitude and direction.
i, j, k Notation
This little guys with the ^ over them are a serious pain! It's like every trig teacher in the world decided that vectors weren't hard enough already, so we're going to figure out how to make them twice as difficult to use. Well, if that was their intent, they pulled it off.
Cross Product of Vectors
Not to be confused with the dot product, which has a dot, the cross product has... an x. But it looks like a cross, kinda. A x B. That looks like a cross, right? Never mind. Just don't confuse x's with dots or your trig life will be turned upside down. N.VM.11
If you do not have an account, you should get one, because it is awesome! You can save a playlist for each test or each chapter, and save your "greatest hits" into a "watch right before the final" list (not that we recommend cramming, but when in Rome...)