what if two vectors a X b = 0 and a b = 0then find what kind of - Maths - Vector Algebra

Question

what if two vectors a X b = 0 and a b = 0then find what kind of
vector are a b​

Prithvi · Accepted Answer

Considering the angle between the given vectors A and B,
if A x B = 0, it means angle between them is 0 degrees
but, A B = 0, it means they are perpendicular, however, two vectors
cannot be parallel and perpendicular to each other at the same
time, this means that,
either on of the vector, A or B is a null vector, or both the
vectors are null vectors

what if two vectors a X b = 0 and a . b = 0then find what kind of vector are a b​

what if two vectors a X b = 0 and a . b = 0then find what kind of vector are a b