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

Question 172

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Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w. u=(1,1,2) v=(2,2,2) w=(2,0,2) \begin{array} { l } \mathbf { u } = ( 1,1,2 ) \\\mathbf { v } = ( 2,2,2 ) \\\mathbf { w } = ( 2,0,2 ) \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 } = ( 1,1,2 )  \\ \mathbf { v } = ( 2,2,2 )  \\ \mathbf { w } = ( 2,0,2 )  \end{array}      \mathrm { a } = ( 1,1,2 )  , \mathrm { b } = ( 2,2,2 )  , \mathrm { c } = ( 2,0,2 )    A)   \text { Volume } = 5 \text { cubic units }  B)   \text { Volume } = 6 \text { cubic units }  C)   \text { Volume } = 7 \text { cubic units }  D)   \text { Volume } = 8 \text { cubic units }  E)   \text { Volume } = 4 \text { cubic units } a=(1,1,2) ,b=(2,2,2) ,c=(2,0,2) \mathrm { a } = ( 1,1,2 ) , \mathrm { b } = ( 2,2,2 ) , \mathrm { c } = ( 2,0,2 )


A)  Volume =5 cubic units \text { Volume } = 5 \text { cubic units }
B)  Volume =6 cubic units \text { Volume } = 6 \text { cubic units }
C)  Volume =7 cubic units \text { Volume } = 7 \text { cubic units }
D)  Volume =8 cubic units \text { Volume } = 8 \text { cubic units }
E)  Volume =4 cubic units \text { Volume } = 4 \text { cubic units }

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