Right-Hand Rule - Revision history

Lcharity3 at 00:31, 2 December 2025

2025-12-02T00:31:32Z

← Older revision		Revision as of 20:31, 1 December 2025
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	2) The second method is extremely similar to the first. Start by making a thumbs up, and maintain your thumb extended in this way through the entire process. Extend your index (pointer) finger and align it with the first vector in the cross product. Extend your middle finger and align it with the second vector while keeping your ring and pinkie fingers closed. This will force you to orient your hand in such a way that your thumb will point in the direction of the cross product. This is demonstrated below.		2) The second method is extremely similar to the first. Start by making a thumbs up, and maintain your thumb extended in this way through the entire process. Extend your index (pointer) finger and align it with the first vector in the cross product. Extend your middle finger and align it with the second vector while keeping your ring and pinkie fingers closed. This will force you to orient your hand in such a way that your thumb will point in the direction of the cross product. This is demonstrated below.

	~~[[File:Right hand rule cross product.svg\|Right hand rule cross product]]~~

	==A Mathematical Model==		==A Mathematical Model==

Lcharity3: I also added a helpful memory tricks and rhr in 3d visualization sections as well.

2025-12-02T00:27:27Z

I also added a helpful memory tricks and rhr in 3d visualization sections as well.

← Older revision		Revision as of 20:27, 1 December 2025
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	A current loops clockwise when viewed from above. What direction is its magnetic dipole vector?		A current loops clockwise when viewed from above. What direction is its magnetic dipole vector?


			==RHR in 3d visualizations==
			If you were wondering, "how does the RHR relates to coordinate systems?", here are some examples:

			RHR is built into the structure of the 3D coordinate system (x cross y = z).

			Explains why physics uses right-handed coordinates instead of left-handed ones.

			Mention that computer graphics sometimes use left-handed systems and must convert.


			==Helpful Memory Tricks==
			“Palm → first vector, curl → second vector, thumb → result.”

			“If curling your fingers feels impossible, rotate your wrist — not the vectors.”

			“Thumb direction is always the axis of rotation (righty-tighty).”

Lcharity3: I added a common mistakes, practice problems, how it relates to my major, industrial applications, and when RHR doesn't work sections.

2025-12-02T00:21:36Z

I added a common mistakes, practice problems, how it relates to my major, industrial applications, and when RHR doesn't work sections.

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-Claimed by Rithwik Sharma Spring 2025
+Claimed by Leah Charity-Spriggs Fall 2025
 ==The Main Idea==
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 [[File:Crossproductdet.png]]
 ==A Computational Model==
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 . How is it connected to your major?
-As a computer engineering major, it is very relevant in my physics class, and although we don't see the right hand rule in action first-hand, I know it plays a critical role in what we do when designing circuits and can be used to explain things at a molecular level.
+As a Biomedical engineering major, it is relevant in my statics class, and although we don't see the right hand rule in action first-hand, I know it plays a critical role in what we do when we're taking moments about a point and can be used to explain why certain moments are positive versus negative.
 . Is there an industrial application?

Rsharma443: Added more applications and edited content

2025-04-23T03:29:51Z

Added more applications and edited content

← Older revision		Revision as of 23:29, 22 April 2025
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	Claimed by ~~''''''~~		Claimed by Rithwik Sharma Spring 2025
	==The Main Idea==		==The Main Idea==

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	In the picture, the particles are coming out of the negative terminal, so they are electrons. This can be verified by using the right hand rule. You curl your fingers from velocity vector to magnetic field vector to find the direction of magnetic force perpendicular. Your thumb is pointing up, but since these are negative charges, its opposite and you flip your hand and you find that the direction of the magnetic force is actually pointing down. Therefore it makes sense that the electrons would accumulate at the bottom since its magnetic force is pushing them towards there.		In the picture, the particles are coming out of the negative terminal, so they are electrons. This can be verified by using the right hand rule. You curl your fingers from velocity vector to magnetic field vector to find the direction of magnetic force perpendicular. Your thumb is pointing up, but since these are negative charges, its opposite and you flip your hand and you find that the direction of the magnetic force is actually pointing down. Therefore it makes sense that the electrons would accumulate at the bottom since its magnetic force is pushing them towards there.

			==Applications in Modern Technology==

			The right-hand rule isn’t just a physics classroom trick—it underpins the functionality of numerous modern technologies. For example, electric motors and generators operate directly based on the principles of electromagnetism, where magnetic fields and currents interact to produce motion or induce voltage. In a DC motor, the current flows through coils situated in a magnetic field. The force exerted on these coils due to the magnetic field (as determined by the right-hand rule) causes them to rotate, converting electrical energy into mechanical work. Conversely, in a generator, mechanical rotation in a magnetic field generates a current, again aligning with the right-hand rule but in reverse.

			Another major application is in the field of particle accelerators and mass spectrometers, where charged particles are manipulated using magnetic fields. Engineers and physicists use the right-hand rule to design magnetic steering systems that control the trajectory of high-speed electrons, protons, or ions. Accurate directional control is essential, as even the smallest miscalculation in the force vector can cause particles to crash into containment walls or skew the results of delicate experiments.

			Additionally, magnetic resonance imaging (MRI) systems use rapidly changing magnetic fields to align and detect the spin of atomic nuclei in the human body. The right-hand rule helps explain how the magnetic fields interact with current-carrying wires in the machine’s gradient coils to produce spatially varying fields. These interactions are critical for encoding location information in the resulting medical images, showcasing how a basic vector rule plays a role in saving lives.

			The right-hand rule is also crucial in aerospace and satellite engineering, where magnetic torquers are used for attitude control of satellites. These torquers generate magnetic dipoles that interact with Earth’s magnetic field to produce torque, allowing engineers to rotate or stabilize satellites without using fuel. To predict and control these rotational effects accurately, the right-hand rule helps determine the direction of torque from the interaction between the satellite’s internal current loops and Earth’s geomagnetic field. This method of non-propulsive control is lightweight, reliable, and energy-efficient, making it ideal for long-duration missions in low Earth orbit.

	==Connectedness==		==Connectedness==

Tchiu11 at 17:35, 24 November 2024

2024-11-24T17:35:18Z

← Older revision		Revision as of 13:35, 24 November 2024
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	Claimed by '''~~Thomas Chiu fall 2024~~'''		Claimed by ''''''
	==The Main Idea==		==The Main Idea==

Tchiu11 at 17:15, 24 November 2024

2024-11-24T17:15:38Z

← Older revision		Revision as of 13:15, 24 November 2024
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	Claimed by '''~~Jason Lee (Fall 2023)~~'''		Claimed by '''Thomas Chiu fall 2024'''
	==The Main Idea==		==The Main Idea==

Jason Lee: /* A Computational Model */

2023-11-27T15:47:31Z

A Computational Model

← Older revision		Revision as of 11:47, 27 November 2023
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	(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.		(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.

	https://trinket.io/glowscript/746a15552f		<html>
			<iframe src="https://trinket.io/embed/glowscript/746a15552f" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>
			<html>

	==Examples==		==Examples==

Jason Lee: /* A Computational Model */

2023-11-24T17:42:38Z

A Computational Model

← Older revision		Revision as of 13:42, 24 November 2023
Line 66:		Line 66:
	(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.		(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.

	~~<html>~~		https://trinket.io/glowscript/746a15552f
	~~<iframe src="~~https://trinket.io~~/embed~~/glowscript/746a15552f~~?start=result" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>~~
	~~<html>~~

	==Examples==		==Examples==

Jason Lee: /* A Computational Model */

2023-11-24T17:32:23Z

A Computational Model

← Older revision		Revision as of 13:32, 24 November 2023
Line 66:		Line 66:
	(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.		(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.

	<iframe src="https://trinket.io/embed/glowscript/746a15552f" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>		<html>
			<iframe src="https://trinket.io/embed/glowscript/746a15552f?start=result" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>
			<html>

	==Examples==		==Examples==

Jason Lee: /* A Computational Model */

2023-11-24T17:26:12Z

A Computational Model

← Older revision		Revision as of 13:26, 24 November 2023
Line 66:		Line 66:
	(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.		(Note: Just because you can determine the direction of a cross product using the RHR does '''NOT''' mean that every equation involving cross products will end up with that direction. Please make sure to account for any changes in sign, magnitude, or direction when solving cross product equations.

	https://trinket.io/glowscript/746a15552f		<iframe src="https://trinket.io/embed/glowscript/746a15552f" width="100%" height="356" frameborder="0" marginwidth="0" marginheight="0" allowfullscreen></iframe>

	==Examples==		==Examples==