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Gandalf the Grey started in the Forest of Mirkwood at the point (-1, 1) and arrived...

Gandalf the Grey started in the Forest of Mirkwood at the point (-1, 1) and arrived in the Iron Hills at the point (1, 6). If he began walking in the direction of the vector v=3i+1j and made one right angled turn, what are the coordinates of the point where he changed direction?

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