1. The problem statement, all variables and given/known data Hello, I just started my summer class "Applied Linear Algebra I" Last math class of my under-grad and its been 1 year since I've last taken Calc3, so I'm trying my best to get back into the groove...anyways. Our first topic we are discussing in class is vectors.  This is all the information give to me. Consider the Vector v = [x y] or <x, y > (which ever notation you prefer) Find the components of the vector obtained by rotating v about the origin counter clockwise through an angle of 30 degrees. 2. Relevant equations 3. The attempt at a solution Vector v lives in Quadrant 1, and therefore all I know is that x, and y are positive. So I rotate vector v by 30 degrees counter clock wise. (Attached rough sketch) I'm not sure what to do next but this is what I believe. cos 30 = (square root of (3) )/ 2 sin 30 = 1/2 cos 30 = x / 1 (CAH) sin 30 = y /1 (SOH) Answer 1] Components of vector v = <x,y> Answer 2] Components of vector v = < cos30, sin30 > Can someone please tell me if im on the right track. thanks any guidance towards the right direction is greatly appreciated. I am here to learn.