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

Updated On: Mar 12, 2025
  • \(\frac{32}{15}(3\hat{j}+5\hat{k})\)
  • \(\frac{32}{15}(3\hat{i}+5\hat{k})\)
  • \(\frac{32}{15}(5\hat{i}+3\hat{k})\)
  • \(\frac{32}{15}(3\hat{i}+5\hat{j})\)
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The Correct Option is B

Solution and Explanation

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