Question

Match the LIST-I with LIST-II - Let $\vec{F}(x,y,z) = x\hat{i} + y\hat{j} + z\hat{k}$ and $\vec{G}(x,y,z) = xz\hat{i} + xy\hat{j} + yz\hat{k}$

Choose the correct answer from the options given below:

• A. A-IV, B-III, C-II, D-I
• B. A-IV, B-III, C-I, D-II
• C. A-III, B-IV, C-I, D-II
• D. A-II, B-IV, C-III, D-I

Hint:

For position vector $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$: $\text{div } \vec{r} = 3$ and $\text{curl } \vec{r} = \vec{0}$.

Answer 1

The Correct Option is A