class_docstr: A Dyadic object.
  
  See:
  https://en.wikipedia.org/wiki/Dyadic_tensor
  Kane, T., Levinson, D. Dynamics Theory and Applications. 1985 McGraw-Hill
  
  A more powerful way to represent a rigid body's inertia. While it is more
  complex, by choosing Dyadic components to be in body fixed basis vectors,
  the resulting matrix is equivalent to the inertia tensor.
class_docstr_tok: ["A","Dyadic","object",".","See",":","https",":","\/\/en.wikipedia.org\/wiki\/Dyadic_tensor","Kane",",","T.",",","Levinson",",","D.","Dynamics","Theory","and","Applications",".","1985","McGraw-Hill","A","more","powerful","way","to","represent","a","rigid","body","'s","inertia",".","While","it","is","more","complex",",","by","choosing","Dyadic","components","to","be","in","body","fixed","basis","vectors",",","the","resulting","matrix","is","equivalent","to","the","inertia","tensor","."]
docstr: For a cross product in the form: Dyadic x Vector.
  
  Parameters
  ==========
  
  other : Vector
      The Vector that we are crossing this Dyadic with
  
  Examples
  ========
  
  >>> from sympy.physics.vector import ReferenceFrame, outer, cross
  >>> N = ReferenceFrame('N')
  >>> d = outer(N.x, N.x)
  >>> cross(d, N.y)
  (N.x|N.z)
docstr_tok: ["For","a","cross","product","in","the","form",":","Dyadic","x","Vector",".","Parameters","==========","other",":","Vector","The","Vector","that","we","are","crossing","this","Dyadic","with","Examples","========",">",">",">","from","sympy.physics.vector","import","ReferenceFrame",",","outer",",","cross",">",">",">","N","=","ReferenceFrame","(","'N","'",")",">",">",">","d","=","outer","(","N.x",",","N.x",")",">",">",">","cross","(","d",",","N.y",")","(","N.x|N.z",")"]
code: def __xor__(self, other):
      """For a cross product in the form: Dyadic x Vector.
  
      Parameters
      ==========
  
      other : Vector
          The Vector that we are crossing this Dyadic with
  
      Examples
      ========
  
      >>> from sympy.physics.vector import ReferenceFrame, outer, cross
      >>> N = ReferenceFrame('N')
      >>> d = outer(N.x, N.x)
      >>> cross(d, N.y)
      (N.x|N.z)
  
      """
  
      from sympy.physics.vector.vector import _check_vector
  
      other = _check_vector(other)
      ol = Dyadic(0)
      for i, v in enumerate(self.args):
          ol += v[0] * (v[1] | (v[2] ^ other))
      return ol
  
imports: from sympy import sympify, Add, ImmutableMatrix
  from sympy.core.evalf import EvalfMixin
  from sympy.printing.defaults import Printable
  from mpmath.libmp.libmpf import prec_to_dps
label_desc: Use image node_id 17 for calling the Dyadic obj's underlying member method code with example usage: obj.__xor__(other) and returns: ol