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

question 199

Multiple Choice

Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w. $$\begin{array} { l } \mathbf { u } = \mathbf { i } + \mathbf { j } + 5 \mathbf { k } \\\mathbf { v } = 5 \mathbf { j } + 5 \mathbf { k } \\\mathbf { w } = 5 \mathbf { i } + 5 \mathbf { k }\end{array}$$ $$\mathrm { a } = ( 1,1,5 ) , \mathrm { b } = ( 0,5,5 ) , \mathrm { c } = ( 5,0,5 )$$

• A) \(\text { Volume } = 76 \text { cubic units }\)
• B) \(\text { Volume } = 75 \text { cubic units }\)
• C) \(\text { Volume } = 77 \text { cubic units }\)
• D) \(\text { Volume } = 78 \text { cubic units }\)
• E) \(\text { Volume } = 79 \text { cubic units }\)

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