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

question 112

Multiple Choice

Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u,v,and w. $\begin{array} { l } \mathbf { u } = 9 \mathbf { i } + 9 \mathbf { j } \\\mathbf { v } = 9 \mathbf { j } + 9 \mathbf { k } \\\mathbf { w } = 9 \mathbf { i } + 9 \mathbf { k }\end{array}$ $$\mathrm { a } = ( 9,9,0 ) , \mathrm { b } = ( 0,9,9 ) , \mathrm { c } = ( 9,0,9 )$$

• A) \(\text { Volume } = 1459 \text { cubic units }\)
• B) \(\text { Volume } = 1460 \text { cubic units }\)
• C) \(\text { Volume } = 1458 \text { cubic units }\)
• D) \(\text { Volume } = 1457 \text { cubic units }\)
• E) \(\text { Volume } = 1456 \text { cubic units }\)

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Definitions:

Dual-Process Approach

A theoretical model that suggests there are two distinct systems in the brain for processing information: one that is intuitive and automatic, and another that is deliberate and reasoning-based.

Biased Attitudes

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Reflective Process

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The practice of recognizing and attempting to minimize or eliminate biases in one's judgments and decisions.