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Math Help - [SOLVED] Find volume of a parallelepiped with 3 sides

  1. #1
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    [SOLVED] Find volume of a parallelepiped with 3 sides

    We have sides u, v, w and I must find the volume of the parallelepiped.

    u = (3,1,2)
    v = (4,5,1)
    w = (1,2,4)

    The V = | u . (v x w) |

    In plain English I think this means I must find the absolute value of the dot product of u and (vxw). (v x w) is a cross product.

    So I calculated the cross product of v and w and it gave me

    |square root 18^2 + 15^2 + 3^2|.

    I really don't know what to do at this point, any help?
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  2. #2
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    Quote Originally Posted by thekrown View Post
    We have sides u, v, w and I must find the volume of the parallelepiped.

    u = (3,1,2)
    v = (4,5,1)
    w = (1,2,4)

    The V = | u . (v x w) |

    In plain English I think this means I must find the absolute value of the dot product of u and (vxw). (v x w) is a cross product.

    So I calculated the cross product of v and w and it gave me

    |square root 18^2 + 15^2 + 3^2|.

    I really don't know what to do at this point, any help?

    The cross product is (18,-15,3) , and this inner multiplied by u gives 45...

    Tonio
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