Use the Given Vectors to Find the Indicated Expression $$\mathbf { v } = - 4 \mathbf { i } + 2 \mathbf { j } - 3 \mathbf { k } , \quad \mathbf { u } = - 4 \mathbf { i } - 3 \mathbf { j } + 4 \mathbf { k }$$

question 253

Multiple Choice

Use the given vectors to find the indicated expression.
- $$\mathbf { v } = - 4 \mathbf { i } + 2 \mathbf { j } - 3 \mathbf { k } , \quad \mathbf { u } = - 4 \mathbf { i } - 3 \mathbf { j } + 4 \mathbf { k }$$
Find $\mathbf { v } \times ( - 5 \mathbf { u } )$ .

• A) \(115 \mathbf { i } + 155 \mathbf { j } - 50 \mathbf { k }\)
• B) \(5 \mathbf { i } - 140 \mathbf { j } - 100 \mathbf { k }\)
• C) \(- 5 \mathbf { i } + 140 \mathbf { j } + 100 \mathbf { k }\)
• D) \(- 1 \mathbf { i } - 0 \mathbf { j } + 20 \mathbf { k }\)

Analyze the criticism against utilitarianism, including its focus on consequences over intentions or rules.

Evaluate the role of consequentialist ethics in decision making and moral evaluations.

Recognize the inclusion of animals' interests in the utilitarian ethical framework.

Examine the process for resolving ethical dilemmas from a utilitarian perspective.

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Definitions:

Efficient Allocations

The optimal distribution of resources among competing uses to achieve the highest overall level of welfare or utility.

Market Failures

Situations where the allocation of goods and services by a free market is not efficient, often leading to a net social welfare loss.

Government Intervention

Actions taken by a government to affect or interfere in an economy or market, usually in the interest of public welfare or economic stability.

Economic Systems

The organized way in which a country allocates resources and apportions goods and services in the national community.