v = (2.2600000000000007, 3.740000000000001)
θ = 1.3264502315156905 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
R: {{cos(θ), (-sin(θ))}, {sin(θ), cos(θ)}}
w = ApplyMatrix(R, v)