Find the Distance Between the Two Vectors $$\mathbf { u } = ( 14,17,22 ) , \mathbf { v } = ( 2,9,2 )$$

question 9

Multiple Choice

Find the distance between the two vectors.
- $$\mathbf { u } = ( 14,17,22 ) , \mathbf { v } = ( 2,9,2 )$$

• A) 40
• B) \(4 \sqrt { 38 }\)
• C) 608
• D) \(2 \sqrt { 377 }\)

Recognize the importance and application of the sociological imagination.

Appreciate the role of social structures in influencing individual and group behavior.

Identify how sociological theories explain social phenomena and individual behavior.

Recognize the significance of macrostructures like gender, class, and race in shaping social dynamics.

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Definitions:

Random Sampling

Random sampling is a technique used in research to select a sample group from a larger population using random methods, ensuring that every individual has an equal chance of being chosen.

Causality

The relationship between cause and effect, where one event (the cause) initiates the occurrence of another event (the effect).

Case Study

A case study is an in-depth analysis of an individual, group, or event, extensively researched over a period with the aim of uncovering unique patterns or insights.

Self-Report

A method of gathering data where individuals provide information about themselves, often used in surveys and questionnaires.