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Gandalf the Grey started in the Forest of Mirkwood at a point P with coordinates (−3,3)...

Gandalf the Grey started in the Forest of Mirkwood at a point P with coordinates (−3,3) and arrived in the Iron Hills at the point Q with coordinates (-1, 6). If he began walking in the direction of the vector v=4i+1j and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn?

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