A bird is at a point P (4m ; –1m; 5m) and sees two points P1(–1m; 2m ; 0m) and P2(1m ; 1m ; 4m). At time t = 0 it starts flying in a plane of the three positions, with a constant speed of 5m/s in a direction perpendicular to the straight line P1P2 till it sees P1 and P2 collinear at time t. Find t.
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