Question

assume that if f is a multivariable function.which of the following is scalar quantity. 1)the gradient of f. 2)the divergence of f. 3)the curl of f . 4) the Jacobian of f

Answer 1

Answer: The answer is (2) The divergence of f.

Step-by-step explanation:  Let f(x,y,z) be a multiplicative function.

We know the following definitions.

(i) The gradient of f: The gradient converts a scalar quantity into a vector quantity.

(ii) The divergence of f: The divergence converts a vector quantity into a scalar quantity.

(iii) The curl of f: The curl of a vector quantity is again a vector quantity.

(iv) The Jacobian of f: The Jacobian of f is a vector-valued functrion.

Thus, the correct option is (2).