Find the Dot Product V · W $$\mathbf { v } = - 12 \mathbf { i } - 15 \mathbf { j } , \quad \mathbf { w } = - 5 \mathbf { i } - 8 \mathbf { j }$$

question 198

Multiple Choice

Find the dot product v · w.
- $$\mathbf { v } = - 12 \mathbf { i } - 15 \mathbf { j } , \quad \mathbf { w } = - 5 \mathbf { i } - 8 \mathbf { j }$$

• A) 60
• B) 120
• C) 180
• D) \(- 60\)

Identify factors influencing global population growth and world demographics.

Analyze the relationship between economic variables (such as living standards) and demographics (e.g., birthrates).

Understand the concept of the demographic transition and its stages.

Examine the effect of human consumption on resource demand over time.

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Definitions:

Technology

Application of scientific knowledge for practical purposes, especially in industry.

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Optimal Point

The situation in which a firm, individual, or economy achieves the best possible outcome under given constraints.

Production Possibility Frontier

A graphical representation showing the maximum quantity of goods and services that a society can produce, given its existing levels of labor, technology, and resources.