Vectors

ARRRRRRRRRRRRRRG HAPPY HALLOWEEN EVERYONE I TOTALLY DIDN'T FORGET TO BLOG BECAUSE MY MIND WAS OCCUPIED WITH HOLIDAY SPIRIT.
VECTORS. RIGHT.

SO. What happens with vectors is that we want to ADD THEM. Why? Because they're silly little things that tells you the direction by being SEPERATE so they can annoy you until you start pulling your hair out and head desk yourself.

OK not really they're basically lengths of directions, which can go North, South, East, West. They can also be known as North and negative North, East and negative East and vice versa, whatever is easier for you.

So when you get seperate vectors, you'll want to add them in order to see the sum of the vectors. If you don't get why, imagine you're trying to find a way to get to a destination the quickest. So for example, if you were given two vectors like 3 to North and 5 to South, the quickest way to get to the final point would be 2 to South. This is the sum of our vectors.

What if we get more then one dimention? Like 2 to the North and 5 to th East? Then we're going to have to use the Pythagorian Theorum. Oh yeah, more math, who's excited? I sure am not. If you try sketching the vectors, you might notice something.

That's right, the right angle triangle. So you can find out the total vector by adding the squares of the lines, then square rooting it. So it would be 2² + 5² = R², R = 5.39.

We can also find the angle of the vector so we know the exact direction. We do this by using trigonometry. Oh HEY there, SOH CAH TOA, long time no see. Here's a diagram of how we're going to use this:

The guy with the Zs and the angles are here too, joy. We want to use TOA, so it would be tan(data) = opp/adj = 2/5, (data) = tan^-1 (2/5), (data) = 21.8.
Finally, we would display the answer like this: 5.39 units [N 21.8^o E]. Well that's all folks, have a happy halloween that's over in half an hour. Good night.