Question

if vector field remain parrel at the point of considere p then the value of divergent of vector field of point p is​

Answer 1

Answer:

We define the divergence of a vector field at a point, as the net outward flux of per volume as the volume about the point tends to zero. Example 1: Compute the divergence of F(x, y) = 3x2i + 2yj. Solution: The divergence of F(x, y) is given by ∇•F(x, y) which is a dot product.

Answer 2

Divergence of vector field at point p:

• Divergence is an operation on a given vector field explains the behavior of field at that point i.e., towards the point or away from the point.
• Generally, the divergence of a vector field at a particular point P is a measure of the “outflowing-ness” of the vector field at P.
• If F represents the velocity of a fluid, then the divergence of F at P measures the net rate of change with respect to time of the amount of fluid flowing away from P (the tendency of the fluid to flow “out of” P).
• In particular, if the amount of fluid flowing into P is the same as the amount flowing out, then the resultant divergence of vector at P is zero.
• The divergence of vector field results in scalar function.