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why is very small angular displacement a vector quantity?How can we prove it?

why is very small angular displacement a vector quantity?How can we prove it?

Grade:11

1 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
Dear student,

Angular displacements, unlike linear displacements, do not commute with each other(which is, otherwise, an important property of vectors). Hence it cannot be technically classified as a vector. However infinitesimal angular displacements commute due to approximations into infinitesimal linear displacements. Henceinfinitesimal angular displacements are classified as vectors.

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