Find the General Form of the Equation of the Plane $( - 4,4,3 )$

question 31

Multiple Choice

Find the general form of the equation of the plane with the given characteristics.
The plane passes through the points $( - 4,4,3 )$ and $( 2,7 , - 7 )$ and is perpendicular to the plane $2 x + 3 y + 3 z = 1$ .

• A) \(39 x - 38 y + 12 z + 272 = 0\)
• B) \(2 x + 3 y + 3 z + 13 = 0\)
• C) \(39 x + 38 y + 12 z + 32 = 0\)
• D) \(2 x + 3 y + 3 z = 0\)
• E) \(38 x - 39 y + 14 z + 266 = 0\)

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Definitions:

Nearest Cent

Rounding an amount to the closest cent (1/100th of a currency unit) in financial calculations.

Evaluate

To assess or examine something in order to gain an understanding of it, often leading to a judgment or conclusion.

Nearest Cent

Rounding a monetary amount to the closest cent, commonly used in cash transactions to simplify payment.

Evaluate

To evaluate or ascertain the worth, importance, or state of something by conducting a thorough examination and analysis.