Find an Equation of a Plane Passing Through the Given $( 3 , - 1 , - 3 ) \quad$

question 33

Multiple Choice

Find an equation of a plane passing through the given point and perpendicular to the given vector. Point: $( 3 , - 1 , - 3 ) \quad$ Vector: $\mathbf { v } = \{ 6,5,4 \}$

• A) \(6 x - 5 y + 4 z - 1 = 0\)
• B) \(6 x + 5 y - 4 z + 1 = 0\)
• C) \(6 x + 5 y + 4 z - 1 = 0\)
• D) \(6 x + 5 y + 4 z + 1 = 0\)
• E) \(6 x + 5 y + 4 z - 3 = 0\)

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Definitions:

Reconstruction

The period after the American Civil War when the southern states were reintegrated into the Union and efforts were made to extend civil rights to freed slaves.

Presidential Election

The process by which the president of the United States is selected, involving nationwide votes and the Electoral College system.

Southern Republicans

Republicans residing in the Southern United States, historically significant for their role during the Reconstruction era and their political evolution over time.