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A scalar is an ordinary number or quantity.



In physics, one speaks of a scalar quantity when the quantity has no specific direction and does not depend on the choice of coordinate system.


Example 1

The scalar product of two Euclidean vectors a and b is

a · b = ||a|| ||b|| cos θ

where θ is the angle between the vectors, and ||a|| and ||b|| are the norms of the vectors and a and b.


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