Consider the vector field: V = exi + sin y2 j + cos z5 k.
a. What is the divergence of the vector field? Is it vector or scalar quantity?
b. Find the divergence of the vector field at the point P = (1, √π/2, 5√π).
c. What is the curl of the vector field? Is it vector or scalar quantity?
d. Find the curl of the vector field at the same point P = (1, √π/2, 5√π).
Which conclusion can be made about the vector-field?