Choose the One Alternative That Best Completes the Statement or Answers

question 148

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Find the requested vector.
- $$\mathbf { w } = 3 \mathbf { i } - 3 \mathbf { j } - \mathbf { k }$$
Find a vector orthogonal to both $\mathbf { w }$ and $\mathbf { j } + \mathbf { k }$ .

• A) \(- 4 \mathbf { i } - 2 \mathbf { j } + 4 \mathbf { k }\)
• B) \(4 \mathbf { i } - 2 \mathbf { j } + 2 \mathbf { k }\)
• C) \(- 2 \mathbf { i } - 3 \mathbf { j } + 3 \mathbf { k }\)
• D) \(3 \mathbf { i } - 3 \mathbf { j } - 2 \mathbf { k }\)

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Definitions:

Indian Enslavement

The historical practice of enslaving Indigenous peoples in the Americas, especially prominent during European colonization and expansion.

New France

The area colonized by France in North America from the 16th to the 18th century, including parts of present-day Canada and the United States.

French Colonizers

European settlers from France who established colonies in various parts of the world, significantly impacting the culture, economy, and political structure of the colonized areas.

Alliances

Agreements between two or more parties, usually countries, to cooperate for mutual benefits or to achieve common goals.