The site I am linking to is the FAQ for comp.graphics.algorithms newsgroup. This is just a link to the “Geometry Basics” part of the site.
http://www.cgafaq.info/wiki/Geometry_basics
Please look at the dot product and 2D point rotation pages. On the dot product page pay special attention to the section under the diagrams that starts with “We draw the following conclusions:”. On the 2D point rotation page realize that we are using row vectors for the purpose of the example they give(I am pretty sure about this but not positive).
Don’t worry about constructing matrices and multiplying vectors with them. Unity does all of that in their Transform class.
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