• Card 30 / 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. Calculate A x B.
    A) -14 k + 52 j+ 2i
    B) -14 k - 52 j+ 2i
    C) -14 k + 12 j + 2i
    D) -14 k + 52 j- 2i
    E) 14 k- 52 j - 2i

    Answer:
    A) -14 k + 52 j+ 2i

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Explanation:

A simple way to calculate the cross product is to write the vectors: Add the products along the blue diagonals and subtract those along the red diagonals to obtain -14 k + 52j + 2i. There are many other ways to remember this pattern; you may wish to learn and repeat one a few times.

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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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