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Problems for Component Method of Vector Addition and Scalar Multiplication

Problems for Component Method of Vector Addition and Scalar Multiplication

Problems for Component Method of Vector Addition and Scalar Multiplication

Problems for Component Method of Vector Addition and Scalar Multiplication

Problems for Component Method of Vector Addition and Scalar Multiplication

Problems for Component Method of Vector Addition and Scalar Multiplication

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 .