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 .
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