Find a Set of Parametric Equations for the Line Through $( 2,0,2 )$

question 71

Multiple Choice

Find a set of parametric equations for the line through the point and parallel to the specified vector or line.(For each line,write the direction numbers as integers. )
Point: $( 2,0,2 )$ Parallel to: $x = 3 + 4 t , y = 5 - 5 t , z = - 7 + 3 t$

• A)Parametric equations: \(x = 4 t , y = - 5 t , z = 2 + 3 t\)
• B)Parametric equations: \(x = 2 + 4 t , y = 2 - 5 t , z = 2 + 3 t\)
• C)Parametric equations: \(x = 2 + 4 t , y = - 5 t , z = 2 + 3 t\)
• D)Parametric equations: \(x = 2 + 4 t , y = 2 - 5 t , z = 2 - 2 t\)
• E)Parametric equations: \(x = 2 + - 5 t , y = 3 t , z = 2 + 4 t\)

Identify the types of applications used for specific tasks such as reporting and budgeting.

Understand the historical context and implications of the Monroe Doctrine.

Identify the main goals of American foreign policy.

Recognize the influence of key American figures on foreign policy decisions.

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Definitions:

Emotional Stability

The ability to remain steady and balanced in one's emotions, rather than being easily upset or distressed.

Agreeableness

A personality trait characterized by qualities such as trustworthiness, altruism, kindness, affection, and other prosocial behaviors.

Openness

A personality trait that features the willingness to experience a variety of activities, high curiosity, and an appreciation for art and adventure.

Humanistic Perspectives

A psychological approach that emphasizes the study of the whole person and the uniqueness of each individual's experience, focusing on self-determination and free will.