The basis

is rotated by

from horizontal, as shown. The points

$,$

$,$ and

are related by:

Matlab$/$Octave

Mathematica

Python

R

SymPy

from sympy import $*$

theta $=45$ # in degrees

rOQ $=$ Matrix$([5,1,0])$

rQP $=$ Matrix$([-3,2,0])$

What is

in the

basis?