Two vectors are defined as follows: A (vector) = (3.8 m) x and B (vector) = (2.1
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Two vectors are defined as follows: A(vector)= (–3.8 m) x̂ and B(vector) = (2.1 m)ŷ.
(a) Is the magnitude of A(vector) + B(vector) greater than, less than, or equal to the magnitude of A(vector) – B(vector) ?
(b) Choose the best explanation from among the following:
I. A vector sum is always greater than a vector difference.
II. A(vector) + B(vector) and A(vector) – B(vector) produce similar triangles because A(vector) is perpendicular to B(vector) .
III. The vector – B is in the same direction as A(vector) .
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