Why does the right hand rule work for cross products?

The entries of the cross product w=u×v are polynomials in the entries of u and v, so thinking of w as a function of u and v, it’s a continuous function. Of the two unit vectors perpendicular to both u and v, one satisfies the right hand rule and one does not.

Why do we use the right hand rule?

When a conventional current moves through a conducting wire, the wire is affected by a magnetic field that pushes it. We can use the right hand rule to identify the direction of the force acting on the current-carrying wire.

Does cross product follow right hand rule?

The cross product satisfies another property called the right hand rule, meaning that as the fingers of your right hand curl from u to v, your thumb points in the direction of u × v.

Why can’t we use left hand in right hand thumb rule of cross products eventhough it means the same as left hand thumb also points in upward direction?

It says that when a current carrying conductor is placed in a magnetic field then it experiences a force. Here the direction of current in conductor and direction of magnetic field is known. You have to find the direction of force on the conductor. Fleming’s left hand rule is applied here.

Is right-hand rule for electrons or protons?

In both hand rules, the thumb represents current, first finger is field and the second finger is the force. The right hand rule is for conventional (hole) current, and the thumb represents the direction of hole current. The left hand rule is for electron current, and the thumb represents the electron current.

What is the difference between right-hand rule and right hand thumb rule?

Difference Between Fleming’s Left-Hand and Right-Hand Rule. The purpose of the rule is to find the direction of induced current when a conductor moves in a magnetic field. The thumb represents the direction of the thrust on the conductor. The thumb represents the direction of motion of the conductor.

Is right hand rule for electrons or protons?

Who invented right hand rule?

physicist John Ambrose Fleming
Use of right hand. In mathematics and physics, the right-hand rule is a common mnemonic for understanding notation conventions for vectors in 3 dimensions. It was invented for use in electromagnetism by British physicist John Ambrose Fleming in the late 19th century.

What is the difference between right hand rule and right hand thumb rule?

When should I use left hand rule?

Different hands need to be used for motors and generators because of the differences between cause and effect. In an electric motor, the electric current and magnetic field exist (which are the causes), and they lead to the force that creates the motion (which is the effect), and so the left-hand rule is used.

What is the difference between left hand rule and right hand rule?

The direction of the induced current can be found using Fleming’s Right Hand Rule….Difference Between Fleming’s Left-Hand and Right-Hand Rule.

Is right hand rule for positive charge?

Key Points The right hand rule states that, to find the direction of the magnetic force on a positive moving charge, the thumb of the right hand point in the direction of v, the fingers in the direction of B, and the force (F) is directed perpendicular to the right hand palm.

What are the right hand rules in physics?

right-hand rule n. Physics A rule that uses the shape of the right hand to establish the standard orientation of vector quantities normal to a plane, especially when calculating a vector product or the helicity of particle spin.

What is the right hand rule in calculus?

The right-hand rule states that the orientation of the vectors’ cross product is determined by placing and tail-to-tail, flattening the right hand, extending it in the direction of , and then curling the fingers in the direction that the angle makes with .

What is the right hand rule for vectors?

The right hand rule for rotation vectors is based on the same idea: curl the fingers of your right hand in the direction of the rotation. If that’s not easy, rotate your wrist until it’s possible. Then the direction of your thumb is the direction of the rotation vector.

What is cross product?

Definition. Cross product of two vectors is always a vector quantity.