koobas.hobune.stream
Understanding Arithmetic & Vector Data
I'm trying to understand the math involved in adding and multiplying vector data.
ADDING 2 VECTORS:
If I add 2 vectors (2,3,1) + (1,1,4) , Will that give me (3,4,5) ?
Does it add them together?
MULTIPLYING AGAINST A FLOAT
If I multiply a vector **(2,3,4) 3.5 , is it multiplying all 3 numbers against the float individually to give me (7,10.5, 14)*?
Again, just trying to understand what's going on under the hood a little better.
Yes it is. Addition creates a new vector out of all the vectors you are adding. $$anonymous$$ultiplication extends the vector if the scalar is greater than 1 and reduces it if smaller than 1. At 0, you have a vector zero, less than 0 you invert the direction of the vector. Dividing is the same process. http://docs.unity3d.com/Documentation/$$anonymous$$anual/UnderstandingVectorArithmetic.html
Yes that is right. Here's some more http://www.mathsisfun.com/algebra/vectors.html
This is great, but the thing I'm not clear on is that in the illustrations, Vectors are represented with arrows. This implies they are a line/ray and not a point? Not sure where they get the direction from. It seems like X,Y, or X,Y,Z would just give you a solitary point, not an arrow. Could you explain this?
@HauntedHotPocket: Don't forget to upvote helpful answers, and to mark successful answers as accepted. I've taken the liberty of doing that for you, here. :)
Is it always assu$$anonymous$$g the vector is calculated from your current position (0,0), or (0,0,0)? Sorry for the noobery.
This implies they are a line/ray and not a point? Not sure where they get the direction from. It seems like X,Y, or X,Y,Z would just give you a solitary point, not an arrow. Could you explain this?
They look similar and are easy to confuse. Here are a couple of differencies between a point and a vector
Vector has a direction and a magnitude (as you can see: http://www.mathsisfun.com/algebra/vectors.html)
Point represents a location. For example point (2, 2) has one unambigious location. Vector [2, 2] ins$$anonymous$$d is not bounded similarly. It can be the vector between points (10, 10) and (8, 8) or (100, 100) and (98, 98), doesn't matter.
In Unity there is a data type called Vector2. This kind of data type is nevertheless used as a point and a vector even though the name is Vector2 so it can be a bit confusing sometimes.
Is it always assu$$anonymous$$g the vector is calculated from your current position (0,0), or (0,0,0)?
No. Vectors can be calculated between any points (as mentioned above). Here is another link that might be helpful.
