The point (1,1,1) is connected to the origin by a curve, C, formed by the union of two lines: the first going from the origin to the point (1,1,0); and the second going from (1,1,0) to (1,1,1). The first segment of the curve (connecting (0,0,0) to (1,1,0)), C1, is parametrised by r = ti + tj, 0 ≤ t ≤ 1. Parametrise the other part of the curve (connecting (1,1,0) to (1,1,1)), C2, so that we could form C as C1 ∪ C2.

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