Find the curl of the vector field

Question

Quizplus · Accepted Answer

The curl of a vector field F = (P,Q,R) is defined as: 
∇ × F = ( ∂R/∂y - ∂Q/∂z , ∂P/∂z - ∂R/∂x , ∂Q/∂x - ∂P/∂y )
In our case, the given vector field is F = (11, a, a).
Hence, 
∇ × F = (0 - 0, 0 - 0, ∂a/∂x - ∂a/∂y)
Since we don't know the expression for 'a', we cannot simplify this any further. Therefore, the final answer must be in terms of the given components of F. 
Looking at the options, we see that only option (C) has the correct structure for the curl, which is (0, 0, 2a). Therefore, the answer is (C).

Find the Curl of the Vector Field