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

question 172

Multiple Choice

Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w. $$\begin{array} { l } \mathbf { u } = ( 1,1,2 ) \\\mathbf { v } = ( 2,2,2 ) \\\mathbf { w } = ( 2,0,2 ) \end{array}$$ $$\mathrm { a } = ( 1,1,2 ) , \mathrm { b } = ( 2,2,2 ) , \mathrm { c } = ( 2,0,2 )$$

• 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) \(\text { Volume } = 4 \text { cubic units }\)

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Definitions:

Endodermis

The innermost layer of the plant root cortex. Endodermal cells have a waterproof Casparian strip around their radial and transverse walls that ensures that water and minerals enter the xylem only by passing through the endoderm cells.

Cortical Parenchyma

Plant tissue found in the cortex of stems and roots that is involved in storage, photosynthesis, and transport of nutrients.

Photosynthesis

A process by which green plants and certain other organisms transform light energy, usually from the sun, into chemical energy stored in glucose.

Cutin

A waxy, water-repellent substance present in the cuticle of plants, which helps reduce water loss.