Find the Cosine of the Angle Between the Two Vectors $\langle 1,1,1 \rangle$

question 71

Multiple Choice

Find the cosine of the angle between the two vectors $\langle 1,1,1 \rangle$ and $\langle1,4,3 \rangle$ .

• A) \(8 / \sqrt { 41 }\)
• B) \(8 / \sqrt { 53 }\)
• C) \(8 / \sqrt { 69 }\)
• D) \(8 / \sqrt { 78 }\)
• E) \(4 / \sqrt { 41 }\)
• F) \(4 / \sqrt { 53 }\)
• G) \(4 / \sqrt { 69 }\)
• H) \(4 / \sqrt { 78 }\)

Differentiate between types of variables (race, class, gender, views, etc.) in social research contexts.

Identify the levels of measurement used in research (nominal, ordinal, interval, ratio).

Understand the relationship between hypothesis testing, samples, and populations.

Comprehend how the design of a study affects variable classification.

---

Definitions:

Irish Independence

The historical process through which Ireland gained sovereignty from the United Kingdom, culminating in the establishment of the Irish Free State in 1922.

Economic Consequences

Economic consequences are the outcomes or impacts of economic actions, policies, or events on an economy, societies, or individuals.

High Reparations

Payments imposed on a defeated country by the victors, often intended as compensation for war damages and economic disruption, which can be so extensive that they heavily burden the paying nation's economy.

Secular Reforms

Changes or enhancements made to laws, institutions, and societal norms that reduce the influence of religious organizations and beliefs on public and governmental affairs.