Question

If ř represents the position vector of a point P, and
Statement A: div r = 3
Statement B: curl r = 3
Which of the following is true?​

Answer 1

Step-by-step explanation:

If

ř represents the position vector of a point P, and

Statement A: div r = 3

Statement B: curl r = 3

Which of the following is true

Answer 2

Answer:

Statement A: div r = 3 is true.

Step-by-step explanation:

The position vector of point P is given as r.

Let r = xi+yj+zk

Using the divergence theorem, we get

div r = $\frac{dr_x}{dx} +\frac{dr_y}{dy} +\frac{dr_z}{dz}$

We have $r_x = x$, $r_y=y$, and $r_z=z$. Substituting these values, we get

div r = $\frac{d(x)}{dx} +\frac{d(y)}{dy} +\frac{d(z)}{dz}$

div r = 1+1+1

div r = 3

Therefore, the divergence of the given position vector is 3.

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