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. $$\begin{array} { l } \mathbf { u } = ( 9,9,0 ) \\\mathbf { v } = ( 0,0 , - 9 ) \\\mathbf { w } = ( 9,0,9 ) \end{array}$$ $$\mathrm { a } = ( 9,9,0 ) , \mathrm { b } = ( 0,0 , - 9 ) , \mathrm { c } = ( 9,0,9 )$$

• 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) \(\text { Volume } = 732 \text { cubic units }\)

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Definitions:

B State

A concept in psychology that refers to an individual's internal state, such as mood or emotion, which can affect behavior and perception.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord, responsible for processing information and controlling responses.

Habituation

The decreasing responsiveness to a stimulus after repeated exposure.

Sensitization

An increased responsiveness or sensitivity to a stimulus, often resulting from repeated exposure to the stimulus.