Yes, a vector which has zero magnitude is also a vector in case of two vectors travelling in opposite directions with equal magnitudes. At this case, the resultant vector has zero magnitude but it is still a vector. We call it a null vector.
This picture develops a clear understanding.
Yes, a physical quantity can have magnitude and direction but still be a scalar if it doesn't obey the vector addition. An example is Electric Current which has magnitude and a fixed direction, but it does not follow vector laws of addition.
The foods we eat, the air we breathe, cleaning chemicals, our emotions and literally every object that we can see or touch, love, jealousy, infatuation and all share in chemistry. For all living things to function and survive, their bodies perform various chemical processes.
Hey man! Did you talk to her?