I been reading some material that lead me to understand that it takes an inner product of a dyad and a vector to obtain another vector at an angle to the initial one... cross product among two vectors would be an option only if we are willing to settle to a right angle. After few days i countered a situation where i see an inner product of a vector and a dyad resulting in a vector of different magnitude but same direction as the earlier one. i mean to say [ A*v = η.v ] A= a random dyad v= a vector η= a scalar. now the question is, what is the condition for such an interaction ?? what should be the property of such a tensor ?!