24 January 2018, 18:08
As expected my schedule is only getting busier, however I have been squeezing in some learning on my lunch breaks. I learnt a little more about vectors and vector math this week so I'm sharing my notes.
Last post I looked at add a vectors together to vectors, let's remind ourselves how that works:
In the above diagram we are adding A to B to get R. We are putting these vectors A and B end to end to get R. This new line R is the result of adding the two.
This maps to the idea of location and velocity, let's draw out our bouncing ball example:
Here is the example in code:
We add the location to velocity to get the new location. The formula in psuedo-code:
newLocation.x = location.x + velocity.x newLocation.y = location.y + velocity.y
Now that we have have a handle on adding let's look at subtraction. There isn't that much difference. All we are doing is replacing the add with subtract but it does require a little extra thinking. Lets first write the pseudo code and then draw it out.
W.x = V.x - U.x W.y = V.y - U.y
We'll be able to give these letters more meaning after we draw it out:
To subtract the vectors we lay the vectors end to end but when subtracting we inverse the direction of one keeping the magnitude ( size ). The vector between the two is the result. In this case we have found the Velocity between the two points.
now in we can label those letters:
velocity.x = mouseV.x - centerV.x velocity.y = mouseV.y - centerV.y
Here's an example using code:
It is best to follow the link to see the full functionality, hover your mouse around the screen and the line will follow.
That's all I managed this week.
Thanks for reading!
Check out Daniel Shiffman's great series on the Nature of Code, this 100 days of learning is a great excuse for me to finally work through the lessons and take some notes as I go.