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    Volume of the parallelepiped

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    Calculate the given quantities if a = <1,1,-2>, b= <3,-2,1>, and c=<1,1,-5>.

    a) 2a + 3b

    b) |b|

    c) Unit vector in the direction of b.

    d) a (dot) b

    e) a x b

    f) comp a/b

    g) proj a/b

    h) Volume of the parallelepiped determined by a , b , and c.

    i) Determine whether a and b are parallel, perpendicular or neither.

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    Solution Summary

    Volume of the parallelepiped is attained.