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    Exam 18: Differential Forms and Exterior Calculus
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    Find the 4-Volume of the 4-Parallelogram in Spanned by the Vectors
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Find the 4-Volume of the 4-Parallelogram in Spanned by the Vectors

Question 32

Question 32

Multiple Choice

Find the 4-volume of the 4-parallelogram in Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     spanned by the vectors Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     = ( Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     ) , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     = (1, 0, 0, 0) , and Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     = (- Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , - Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     , Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     ) .


A) Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)
B) Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)
C) Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)
D) Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)
E) Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)     Find the 4-volume of the 4-parallelogram in   spanned by the vectors   = (   ,   ,   ,   ) ,   ,   = (1, 0, 0, 0) , and   = (-   ,   , -   ,   ) . A)      B)      C)      D)      E)

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