ISRO Mechanical & Aerospace 2011 - Question 78

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The value of curl of the vector $V = (xyz)i + (3x^2y)j + (xz² - y^2z)k$ at the point (2, -1, 1) is

  • A. $2i + 3j + 14k$
  • B. $2i - 3j + 14k$
  • C. $2i + 3j - 14k$
  • D. $2i - 3j - 14k$

Answer: D. $2i - 3j - 14k$

Explanation: Computing $\nabla \times V$ at the given point results in $2i - 3j - 14k$.

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