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

question 15

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) \(r = \langle - 6 , - 10,0 \} + t ( 2,2 , - 20 \}\)

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Definitions:

Chemical Reaction

A process that leads to the transformation of one set of chemical substances to another through the breaking and forming of chemical bonds.

Activation Energy

The minimum amount of energy that is required to initiate a chemical reaction, determining the reaction rate.

Enzymes

Biological molecules that act as catalysts, speeding up chemical reactions in living organisms without being consumed in the process.

Enzyme

Biomolecules that act as catalysts, speeding up specific biochemical reactions in the body without being consumed in the process.