- #1
Swapnil
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What is the difference between an axial vector, a psudo vector and a bivector?
An axial vector is a mathematical object that represents a quantity that has both magnitude and direction, but behaves differently under certain transformations. It is also known as a polar vector or a proper vector.
A pseudo vector is a mathematical object that also has magnitude and direction, but its behavior is different from an axial vector under certain transformations. It is also known as an axial vector or an improper vector.
The main difference between an axial vector and a pseudo vector is how they behave under certain transformations. An axial vector remains unchanged when the coordinate system is rotated, while a pseudo vector changes sign. Additionally, an axial vector follows the right-hand rule for cross products, while a pseudo vector follows the left-hand rule.
A bivector is a mathematical object that represents a directed area in three-dimensional space. It can be thought of as a combination of two vectors and has both magnitude and direction, but its behavior is different from both axial and pseudo vectors under transformations.
These mathematical objects are frequently used in physics to represent physical quantities such as angular momentum, torque, and magnetic fields. They also play a crucial role in describing the behavior of particles and fields in quantum mechanics and relativity.