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I Is angle a vector or a scalar quantity?

  1. Oct 27, 2016 #1
    Is angle a vector or a scalar quantity?
    (eg- θ in l=rθ)
  2. jcsd
  3. Oct 27, 2016 #2


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    An angle itself is a scalar, but a rotation is a vector.

    The angle ##\pi/4## has no implied direction as an angle. But, you can have a rotation of ##\pi/4## in any direction.
  4. Oct 28, 2016 #3

    David Lewis

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    Rotation (angular displacement) has a uniquely-defined magnitude and direction, but is not a vector quantity because it doesn't obey the commutative law of vector addition (the result of two rotations in 3 dimensions depends on the order in which you perform them).
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