Today in Math. :/

Today in my math class we learned how to find the magnitude of a vector. We also learned how to find the direction of a vector.
To find the magnitude of a vector you use the formula:

So, if you have two points on a line P and Q and P's coordinates are (1, 2) and Q's coordinates are (5, 5), you would plug that into the above formula to get:

<5> = <4,>

You would then use the distance formula to find the magnitude:

The square root of (5-1)[Squared] + (5-2)[Squared]
=
The square root of 25 or just 5.

So the magnitude of ray PQ is 5.

To find the direction of a vector you take the difference of the x's and the difference in the y's and divide them. Take that answer and find it's tangent.
On a calculater press the 2nd button, then tan. Tan[Negative 1] should come up on your screen. After that put in the answer you got from dividing the x's difference and the y's difference. You now have the angle that the vetor is traveling in.

[P.S. I hate math. I just thought you should know.]