D

Step 1: The magnetic flux \( \Phi \) through a surface is given by the formula:
\( \Phi = \vec{B} \cdot \vec{A} \)
Step 2: Here, \( \vec{A} \) is the vector area (magnitude equals the area and direction is perpendicular to the surface) and \( \vec{B} \) is the magnetic field.
Step 3: In a uniform magnetic field, the flux is directly proportional to the area vector and the cosine of the angle (\( \theta \)) between them:
\( \Phi = B A \cos(\theta) \)
Step 4: Therefore, the correct expression for magnetic flux linked with the area in a uniform magnetic field is
\( \Phi = \vec{B} \cdot \vec{A} \). Assuming the context of the question, option D represents this correctly. Hence, the answer is D.