Two vectors are given by a = (4.0 m)i - (3.0 m)j + (1.0 m)k and b = (-1.0 m)i + (1.0 m)j + (4.0 m)k.

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Two vectors are given by a = (4.0 m)i - (3.0 m)j + (1.0 m)k and b = (-1.0 m)i + (1.0 m)j + (4.0 m)k. In unit-vector notation, find (a) a + b, (b) a - b, and (c) a third vector c such that a - b + c = 0.

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