Compute the Distance Between the Points $( 6 , - 2,9 ) , ( x , y , z )$

question 98

Multiple Choice

Compute the distance between the points.
- $( 6 , - 2,9 ) , ( x , y , z )$

• A) \(( 6 + x ) ^ { 2 } + ( - 2 + y ) ^ { 2 } + ( 9 + z ) ^ { 2 }\)
• B) \(\sqrt { ( 6 - x ) ^ { 2 } + ( - 2 - y ) ^ { 2 } + ( 9 - z ) ^ { 2 } }\)
• C) \(\sqrt { ( 6 + x ) ^ { 2 } + ( - 2 + y ) ^ { 2 } + ( 9 + z ) ^ { 2 } }\)
• D) \(( 6 - x ) ^ { 2 } + ( - 2 - y ) ^ { 2 } + ( 9 - z ) ^ { 2 }\)

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Definitions:

Armature

The rotating coil or coils of a dynamo or electric motor where voltage is induced by magnetic action.

DC Motor

An electric motor that runs on direct current (DC) electricity, converting electrical energy into mechanical energy through the rotation of a shaft.

Magnetic Field

A vector field surrounding magnets, electric currents, and changing electric fields, where magnetic forces are exerted.

Armature

The rotating part of an electric machine (motor or generator) within which a current is induced by a magnetic field.