Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (1, -3) and arrived in the Iron Hills at the point with coordinates (2, 1). If he began walking in the direction of the vector v = 3 I + 1 J 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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Question

Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates (1, -3) and arrived in the Iron Hills at the point with coordinates (2, 1). If he began walking in the direction of the vector v = 3 I + 1 J 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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valpey · Answer

It will be the intersection with the line from (2,1) going in the direction of the vector <-i - 3j>

anonymous · Answer

but it wants points not a vector though !