• Card 29 / 36: For the vectors A= 4 i + 2 j + 8 k and B = 3i-2 j - 7 k, where i, j, and k are unit vectors in a rectangular coordinate system, perform the following task. From the formula A · B = cos(q) ||A|| ||B||, calculate q.
    A) 2.3 radians
    B) 84.3 degrees
    C) 0.843 degrees
    D) 38.4 degrees
    E) 3.84 radians

    Answer:
    A) 2.3 radians

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Explanation:

q = acos([A B] /[||A|| ||B||] ) = acos(-48/72.17) = 2.3 radians

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Mechanics I ME102

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Attribution:  Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/
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