Question

If \(\overrightarrow F=2z\hat{i}-x\hat{j}+y\hat{k}\) and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x²,z=2, then value of \(\iiint\limits_V\overrightarrow FdV\)is

• A. \(\frac{32}{15}(3\hat{j}+5\hat{k})\)
• B. \(\frac{32}{15}(3\hat{i}+5\hat{k})\)
• C. \(\frac{32}{15}(5\hat{i}+3\hat{k})\)
• D. \(\frac{32}{15}(3\hat{i}+5\hat{j})\)

Answer 1

The Correct Option is B

The correct answer is(B): \(\frac{32}{15}(3\hat{i}+5\hat{k})\)