Which of the following expressions are meaningful, and which are nonsense? For t
ID: 3189108 • Letter: W
Question
Which of the following expressions are meaningful, and which are nonsense? For those which are meaningful, decide whether the expression defines scalar function or a vector field. State the reason why if it is nonsense. a. curl(grad f) b. grad(curl f) c. div(grad f) d. grad(div f) e. curl(div f) f. div(curl f)Explanation / Answer
for f being a scalar a) meaningful vector grad f = vector -> curl of vector = vector b) nonsense can't take curl of scalar c) meaningful scalar grad f = vector -> div of vector = scalar d) nonsense can't take div of scalar e) nonsense can't take div of scalar f) nonsense can't take curl of scalar