The GATE Grind

GATE Engineering Mathematics: Vector Calculus – Previous Year Questions

5 GATE previous year questions on Vector Calculus (Engineering Mathematics, Agricultural Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AG Q11 (1 mark, Multiple choice) – For differentiable v=v 1 i+v 2 j+v 3 k, choose the Cartesian expression for curl v.
  2. GATE 2022 AG Q47 (2 marks, Numerical answer) – A particle moves in F=6x2 i+(3xz+y) j+4z k along a straight line from(0,0,0) to(1,2,3). Find work as an integer.
  3. GATE 2024 AG Q11 (1 mark, Multiple choice) – Find the divergence of the curl of a twice continuously differentiable vector function.
  4. GATE 2024 AG Q48 (2 marks, Numerical answer) – Find the directional derivative of u=x2y+y2z at(1,2,3) in direction i+2 j+3 k,to two decimals.
  5. GATE 2026 AG Q49 (2 marks, Numerical answer) – Adjacent parallelogram sides are A=2 i+3 j- k and B=5 i-4 k. Find the area magnitude, to two decimals.