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

Question 61

Multiple Choice

Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w. u=(9,9,0) v=(0,0,9) w=(9,0,9) \begin{array} { l } \mathbf { u } = ( 9,9,0 ) \\\mathbf { v } = ( 0,0 , - 9 ) \\\mathbf { w } = ( 9,0,9 ) \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 } = ( 9,9,0 )  \\ \mathbf { v } = ( 0,0 , - 9 )  \\ \mathbf { w } = ( 9,0,9 )  \end{array}       \mathrm { a } = ( 9,9,0 )  , \mathrm { b } = ( 0,0 , - 9 )  , \mathrm { c } = ( 9,0,9 )    A)   \text { Volume } = 730 \text { cubic units }  B)   \text { Volume } = 731 \text { cubic units }  C)   \text { Volume } = 733 \text { cubic units }  D)   \text { Volume } = 729 \text { cubic units }  E)   \text { Volume } = 732 \text { cubic units } a=(9,9,0) ,b=(0,0,9) ,c=(9,0,9) \mathrm { a } = ( 9,9,0 ) , \mathrm { b } = ( 0,0 , - 9 ) , \mathrm { c } = ( 9,0,9 )


A)  Volume =730 cubic units \text { Volume } = 730 \text { cubic units }
B)  Volume =731 cubic units \text { Volume } = 731 \text { cubic units }
C)  Volume =733 cubic units \text { Volume } = 733 \text { cubic units }
D)  Volume =729 cubic units \text { Volume } = 729 \text { cubic units }
E)  Volume =732 cubic units \text { Volume } = 732 \text { cubic units }

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