GATE Engineering Mathematics: Vector Analysis – Previous Year Questions
13 GATE previous year questions on Vector Analysis (Engineering Mathematics, Electronics and Communication Engineering) with answers and explanations, from every paper.
- GATE 2017 EC Q37 – A three dimensional region R of finite volume is described by x2 + y2 z3; 0 z 1, where x, y, z are real. The volume of R (up to two decimal places) is…
- GATE 2017 EC Q38 – Let I = C (2z\,dx + 2y\,dy + 2x\,dz) where x, y, z are real, and let C be the straight line segment from point A: (0, 2, 1) to point B: (4, 1, -1).…
- GATE 2015 EC Q37 – A vector P is given by P = x3 y a x - x2 y2 a y - x2 yz a z. Which one of the following statements is TRUE?
- GATE 2016 EC Q39 – The region specified by \(, , z) : 3 5, 8 4, 3 z 4.5\ in cylindrical coordinates has volume of
- GATE 2019 EC Q37 – Consider the line integral C(x\,dy-y\,dx), the integral being taken in a counterclockwise direction over the closed curve C that forms the boundary of…
- GATE 2020 EC Q12 – For a vector field A, which one of the following is FALSE?
- GATE 2021 EC Q11 – The vector function F( r)=-x\,+y\, is defined over a circular arc C shown in the figure. The line integral of C F( r) d r is
- GATE 2021 EC Q27 – Consider the vector field F= a x(4y-c 1z)+ a y(4x+2z)+ a z(2y+z) in a rectangular system (x,y,z) with unit vectors a x, a y, and a z. If the field F…
- GATE 2021 EC Q47 – For a vector field D=2\, a +z22\, a in a cylindrical coordinate system (,,z) with unit vectors a , a and a z, the net flux of D leaving the closed…
- GATE 2022 EC Q11 – Consider the two-dimensional vector field F(x,y)=x\,+y\,, where and denote the unit vectors along the x-axis and the y-axis, respectively. A contour C…
- GATE 2023 EC Q37 – The value of the line integral PQ(z2\,dx+3y2\,dy+2xz\,dz) along the straight line joining the points P(1,1,2) and Q(2,3,1) is
- GATE 2024 EC Q54 – Let F 1, F 2, and F 3 be functions of (x,y,z). Suppose that for every given pair of points A and B in space, the line integral C(F 1dx+F 2dy+F 3dz)…
- GATE 2026 EC Q12 – A surface is given by z2 = 2x2 - y2 and n and - n are unit normal vectors to the surface at the point P = i + 2\, k. Which of the following vectors…