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Problem : What is (1, 4, - 3) + 2(0, 1, 5)?

(1, 6, 7)

Problem : If a creature was initially sitting at the point (3,4) in the plane, and then moved to the point (-2,5), what is the vector which describes the creature's displacement?

If v is the displacement vector for the creature, we have that (3, 4) + v = (- 2, 5). Solving for v yields v = (- 5, 1).

Problem : Express the vector (2, 2, 5) in terms of unit vectors.

(2, 2, 5) = 2i +2j +5k.
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