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Here is how antibodies are produced: First, there is the Macrophage, which is an organism inside your body that "eats" bacterias. When a Bacteria is eaten (for the first time) by the Macrophage, it breaks it down into special proteins called "Antigens" into small peptide chains. Then, there are two more cells involve in the Process: The T-Cells of the Macrophage, and a B-Cell When the bacteria is being eaten, the Antigens that are coming from it is being sent to the Macrophage and a B-Cell. If the T-cell detects that the Macrophage and the B-Cells have the same antigen, it will "Stimulate" the B-Cells to produce... THE ANTIBODIES Now, while the Antibodies are secreted/Produced by the B-Cells, the B-Cells are also in the process are replicating enlarging and differentiating—which means, more B-cells, more Anti-bodies. "The Antibody proteins" then attaches itself to the dead bacteria, making them "easier to eat" for the Macrophage. So, Antibodies are not really the ones killing bacterias... Antibodies are like a Ranch dip and your bacteria is the chicken nugget, making it more delicious and faster to eat for the Macrophage.
(PS: The Antibody protein can also combine with a Plasma Component (blood cell). A Plasma component with an Antibody (called a Complement) can directly kill Bacterias itself).