Corkscrew of Maxwell

See also: Corkscrew (homonymy)

In Sciences, the physicists use the rule of the corkscrew of Maxwell when it is question of electromagnetism. It is stated as follows: While turning the corkscrew in the direction of the current traversing the whorl this one “is screwed” in the direction of the induction.

The rule of the corkscrew also applies for the vector Product in Mathématiques to determine the direction and the direction of the vector resulting from a vector product. Thus, in a vector Space $\backslash \; R^\; \{3\}$orienté according to the direct trihedron $(\backslash \; vec\; \{I\},\; \backslash \; vec\; \{J\},\; \backslash \; vec\; \{K\})$, it comes easily:

$\backslash \; begin\; \{boxes\}\; \backslash \; vec\; \{I\}\; \backslash \; wedge\; \backslash \; vec\; \{J\}\; =\; \backslash \; vec\; \{K\}\; \backslash \; \backslash \; \backslash \; vec\; \{I\}\; \backslash \; wedge\; \backslash \; vec\; \{K\}\; =\; -\; \backslash \; vec\; \{J\}\; \backslash \; end\; \{boxes\}$ , $\backslash \; begin\; \{boxes\}\; \backslash \; vec\; \{J\}\; \backslash \; wedge\; \backslash \; vec\; \{I\}\; =\; -\; \backslash \; vec\; \{K\}\; \backslash \; \backslash \; \backslash \; vec\; \{J\}\; \backslash \; wedge\; \backslash \; vec\; \{K\}\; =\; \backslash \; vec\; \{I\}\; \backslash \; end\; \{boxes\}$ et$\backslash \; begin\; \{boxes\}\; \backslash \; vec\; \{K\}\; \backslash \; wedge\; \backslash \; vec\; \{I\}\; =\; \backslash \; vec\; \{J\}\; \backslash \; \backslash \; \backslash \; vec\; \{K\}\; \backslash \; wedge\; \backslash \; vec\; \{J\}\; =\; -\; \backslash \; vec\; \{I\}\; \backslash \; end\; \{boxes\}$

See too

• Catch of Amp
• Orientation
• Symbol of Levi-Civita

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