Final answer:
The zero vector in the vector space R⁶ has all its components set to zero and has no length or direction. When added to any other vector, it does not change the magnitude or direction of the other vector.
Step-by-step explanation:
The zero vector, also known as the additive identity, is a vector in the vector space R⁶ where all of its components are zero. It is denoted by 0 = 0i + 0j + 0k. The zero vector has no length and no direction. When added to any other vector A, it does not change the magnitude or direction of A.