Try this problem from IIT JAM 2014 exam. It deals with calculating Gradient of a scalar point function, Divergence and curl of a vector point function.
If and
then the value of
at
Vector Calculus
Scalar Point Function
Grad, Div , Curl
Answer:
IIT JAM 2014 , Problem 5
Scalar Point Function : is a function which assigns a point to a scalar. Here
is a scalar point function.
Gradient of a function :(
Divergence of a function () =
Curl of a function () =
Now,
Therefore
Again,
Therefore
then,
Try this problem from IIT JAM 2014 exam. It deals with calculating Gradient of a scalar point function, Divergence and curl of a vector point function.
If and
then the value of
at
Vector Calculus
Scalar Point Function
Grad, Div , Curl
Answer:
IIT JAM 2014 , Problem 5
Scalar Point Function : is a function which assigns a point to a scalar. Here
is a scalar point function.
Gradient of a function :(
Divergence of a function () =
Curl of a function () =
Now,
Therefore
Again,
Therefore
then,