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    Exam 18: Differential Forms and Exterior Calculus
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    Find the 3-Volume of the 3-Parallelogram in Spanned by the Vectors
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Find the 3-Volume of the 3-Parallelogram in Spanned by the Vectors

Question 13

Question 13

Multiple Choice

Find the 3-volume of the 3-parallelogram in Find the 3-volume of the 3-parallelogram in   spanned by the vectors v<sub>1</sub> = (2, 3, 1, 0) ,v<sub>2</sub> = (0, -3, -2, 1) , and v<sub>3</sub> = (1, 1, 1, 1) . A)  10 units<sup>3</sup> B)  50 units<sup>3</sup> C)  100 units<sup>3</sup> D)  540 units<sup>3</sup> E)  6   units<sup>3</sup> spanned by the vectors v1 = (2, 3, 1, 0) ,v2 = (0, -3, -2, 1) , and v3 = (1, 1, 1, 1) .


A) 10 units3
B) 50 units3
C) 100 units3
D) 540 units3
E) 6 Find the 3-volume of the 3-parallelogram in   spanned by the vectors v<sub>1</sub> = (2, 3, 1, 0) ,v<sub>2</sub> = (0, -3, -2, 1) , and v<sub>3</sub> = (1, 1, 1, 1) . A)  10 units<sup>3</sup> B)  50 units<sup>3</sup> C)  100 units<sup>3</sup> D)  540 units<sup>3</sup> E)  6   units<sup>3</sup> units3

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