Situations where a medical doctor would recommend injection of pre-formed antibodies (antitoxins):
1. Tetanus infection:
- A doctor may recommend the injection of tetanus antitoxin when a person is injured with a contaminated object or is exposed to tetanus-causing bacteria. Since the body has not yet produced antibodies to the toxin, the immediate administration of pre-formed antibodies can neutralize the tetanus toxin and prevent infection.
2. Snakebite (venom):
- If a person is bitten by a venomous snake, the doctor may administer snake antivenom (which contains pre-formed antibodies against the snake's venom). This is done to neutralize the venom before it can spread and cause severe harm to the body.
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?