Which of the Given Lines Is Parallel to the Line $x = 8 + t , y = t , z = - 7 - 10 t$

question 9

Multiple Choice

Which of the given lines is parallel to the line $x = 8 + t , y = t , z = - 7 - 10 t$ ?

• A) \(x = - 5 + 3 t , y = 10 + t , z = - 2 - t\)
• B) \(x + 8 = y - 2 = - 9 - z\)
• C) \(x = - 5 t , y = 10 t , z = - 1 - t\)
• D) \(x = - 5 + t , y = 10 + t , z = - 1 - t\)
• E) \(r = ( - 6 , - 10,0 ) + t ( 2,2 , - 20 \}\)

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Definitions:

Fundamental Attribution Error

A cognitive bias that involves overestimating the effect of personality and underestimating the influence of situational factors when explaining others' actions.

Weiner

Refers to Bernard Weiner, a psychologist known for his work on attribution theory, which deals with how people interpret and attribute causes to events and behaviors.

Past Experiences

Events or situations that have occurred in an individual's life history and can influence their current behavior and decisions.

Abilities Inferences

The process of drawing conclusions about someone's capabilities based on observed performance or behavior.