Find the General Form of the Equation of the Plane $x = - 1 + 5 t$

question 10

Multiple Choice

Find the general form of the equation of the plane passing through the point and perpendicular to the specified line.
$x = - 1 + 5 t$
$( 6 , - 8,9 ) , \quad y = - 3 + t$
$z = - 2 - 6 t$

• A) \(5 x + y - 6 z = 0\)
• B) \(5 x + y - 6 z - 32 = 0\)
• C) \(5 x + y - 6 z + 32 = 0\)
• D) \(6 x - 8 y + 9 z - 32 = 0\)
• E) \(6 x - 8 y + 9 z + 32 = 0\)

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Definitions:

Ultimate Question

In evolutionary biology, a term referring to the inquiry into the evolutionary reasons or purposes behind the existence of a trait or behavior.

Adaptive Value

The extent to which a trait, behavior, or characteristic increases the survival and reproductive success of an organism in its environment.

Mechanistic Causes

Explanations based on the physical and biochemical processes underlying phenomena, often used in scientific contexts to understand biological functions.

Darwinian Puzzle

A phenomenon or trait that appears to reduce the fitness of individuals, posing a question as to why it has evolved or been maintained through natural selection.