Let $\vec { v } = 3 \vec { i } + 2 \vec { j } - 3 \vec { k }$

question 21

Multiple Choice

Let $\vec { v } = 3 \vec { i } + 2 \vec { j } - 3 \vec { k }$ .Which of the following are parallel to $\vec { v } ?$ Select all that apply.

• A) \(12 \vec { i } + 8 \vec { j } - 12 \vec { k }\)
• B) \(- 12 \vec { i } - 8 \vec { j } + 12 \vec { k }\)
• C) \(12 \vec { i } + 2 \vec { j } - 12 \vec { k }\)
• D) \(12 \vec { i } + 8 \vec { j } + 12 \vec { k }\)
• E) \(12 \vec { i } + 2 \vec { j } - 3 \vec { k }\)

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Definitions:

Public Utilities

Companies that provide essential services such as water, electricity, and telecommunications to the public, usually subject to government regulation.

Economies of Scale

Cost advantages reaped by companies when production becomes efficient, as the scale of operations and output increases.

Making a Profit

The financial gain obtained when the revenue generated from a business activity exceeds the expenses, taxes, and costs associated with maintaining the operation.

Breaking Even

The point at which total costs and total revenue are equal, meaning no net loss or gain has been made.