Final answer:
The direction of dB, due to the current element i dℓ, at point P is out of the page.
Step-by-step explanation:
The direction of dB, due to the current element i dℓ, at point P is determined by applying the right-hand rule.
The right-hand rule states that if you point your thumb in the direction of the current element, and curl your fingers towards the direction of the vectors, then your palm will point in the direction of dB. In this case, since the vectors (1, 2, 3) are in the plane of the page, the direction of dB at point P will be out of the page (option d).