Given That $\vec { v }$ And $\vec { w }$ Are Non-Zero Vectors and That

question 72

Multiple Choice

Given that $\vec { v }$ and $\vec { w }$ are non-zero vectors and that $( \vec { V } \times \vec { w } ) \cdot \vec { u } = 0$ for all vectors $\vec { u }$ , then which of the following MUST be true? Select all that apply.

• A) \(\vec { v }\) is perpendicular to \(\vec { w }\) .
• B) \(\vec { v }\) is parallel or anti-parallel to \(\vec { w }\) .
• C)The angle \(\theta\) between \(\vec { v }\) and \(\vec { w }\) satisfies .
• D)The angle \(\theta\) between \(\vec { v }\) and \(\vec { w }\) satisfies .
• E)At least one of \(\| \vec { v } \|\) and \(\| \vec { w } \|\) is greater than 1.

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Definitions:

Total Fixed Costs

The sum of all costs that do not change with the level of production or services provided, such as rent and salaries.

Average Variable Cost

The total variable cost of producing a good divided by the quantity of the good produced, representing the variable cost per unit.

Average Total Costs

The total costs of production (fixed plus variable) divided by the total quantity of output produced, expressing the cost on a per-unit basis.

Economies of Scale

The savings that organizations achieve through their size of operation, where the expense per produced unit consistently decreases with an upscaling in operation.