Vector : Plane

What type of equation defines the following plane given by:

2x -8y + 2z -7 = 0

• Parametric Equation

• Vector Equation

• Cartesian Equation

• Differential Equation

What do you need to get an equation of a plane?

• A point

• A normal vector to the plane

• A point on the plane

• An normal vector to the plane and a point on the plane

Which of the point below is on the plane x+2y-4z=8

• (1, 2, 4)

• (1, 2, -4)

• (8, 4, 2)

• (8, 4, -2)

What is the equation of a plane passing through ( 1 , 2 , 3 ) and parallel to the plane with equation 3x+4y-5z=0?

• 3x+4y+5z+4=0

• 3x+4y-5z+14=0

• 3x+4y-5z+4=0

• 3x+4y-5z-4=0

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• The two planes are parallel to each other

• The two planes are perpendicular to each other