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Let the 2D point p have coordinates (x,y) with respect to the orthonormal coordinates system given...

Let the 2D point p have coordinates (x,y) with respect to the orthonormal coordinates system given by the origin o = (0,0) and the two basis vectors b1 = (1,0) and b2 = (0,1). The coordinate system is rotated by 45 degree. What are the new coordinates of the point p with respect to the new coordinates system? Provide an illustration!

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