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Sakshi Negi
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why is angular displacement considered an axial vector only for small values?
why is angular displacement considered an axial vector only for small values
An axial vector is a mathematical concept used to describe a vector whose direction is perpendicular to the plane of motion. It is often used in physics and engineering to represent small rotations or angular displacements.
An axial vector is typically represented by a symbol with a cross or wedge on top, such as 𝟙. This notation is used to distinguish it from a regular vector, which is represented by a symbol without any additional markings.
Small angular displacement refers to a rotation or movement that is small enough to be approximated by a straight line or arc. In other words, it is a small change in the direction of an object's motion that can be measured in terms of an angle.
Axial vectors are commonly used in physics to represent the rotational motion of objects, such as in the study of angular momentum or torque. They are also used in engineering applications, such as in the design of machines and mechanisms.
Some examples of axial vectors in real life include the rotation of a spinning top, the movement of a gyroscope, and the rotation of a wheel on an axle. They can also be observed in the motion of planets and celestial bodies in space.