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Use the Triple Scalar Product to Find the Volume of the Parallelepiped

Question 112

Multiple Choice

Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w. u=9i+9jv=9j+9kw=9i+9k\begin{array} { l } \mathbf { u } = 9 \mathbf { i } + 9 \mathbf { j } \\\mathbf { v } = 9 \mathbf { j } + 9 \mathbf { k } \\\mathbf { w } = 9 \mathbf { i } + 9 \mathbf { k }\end{array}  Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w.   \begin{array} { l }  \mathbf { u } = 9 \mathbf { i } + 9 \mathbf { j } \\ \mathbf { v } = 9 \mathbf { j } + 9 \mathbf { k } \\ \mathbf { w } = 9 \mathbf { i } + 9 \mathbf { k } \end{array}       \mathrm { a } = ( 9,9,0 )  , \mathrm { b } = ( 0,9,9 )  , \mathrm { c } = ( 9,0,9 )    A)   \text { Volume } = 1459 \text { cubic units }  B)   \text { Volume } = 1460 \text { cubic units }  C)   \text { Volume } = 1458 \text { cubic units }  D)   \text { Volume } = 1457 \text { cubic units }  E)   \text { Volume } = 1456 \text { cubic units } a=(9,9,0) ,b=(0,9,9) ,c=(9,0,9) \mathrm { a } = ( 9,9,0 ) , \mathrm { b } = ( 0,9,9 ) , \mathrm { c } = ( 9,0,9 )


A)  Volume =1459 cubic units \text { Volume } = 1459 \text { cubic units }
B)  Volume =1460 cubic units \text { Volume } = 1460 \text { cubic units }
C)  Volume =1458 cubic units \text { Volume } = 1458 \text { cubic units }
D)  Volume =1457 cubic units \text { Volume } = 1457 \text { cubic units }
E)  Volume =1456 cubic units \text { Volume } = 1456 \text { cubic units }

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