Metallurgical Engineering > GATE 2021 > Vector Calculus
The divergence of a vector field V⃗(x, y, z), where its three components (Vx, Vy, Vz) are functions of x, y, z, is:
A
∂Vx/∂x + ∂Vy/∂y + ∂Vz/∂z
B
(∂Vz/∂y - ∂Vy/∂z)i + (∂Vx/∂z - ∂Vz/∂x)j + (∂Vy/∂x - ∂Vx/∂y)k
C
∂Vx/∂xi + ∂Vy/∂yj + ∂Vz/∂zk
D
2Vx/∂x2 + ∂2Vy/∂y2 + ∂2Vz/∂z2

Correct : a

Similar Questions

The divergence of the vector field V→ = x2y î + y3z ĵ + z4 k̂ at the point (1,1,1) is _______. (Round off to the nearest integer)
#39 Fill in the Blanks
A fluid flow field is given by the velocity vector V→ = exyz(x î + z k̂). The curl of velocity at (1, 2, 3) is _______.
#113 MCQ
Given, φ̅ = xy î + yz ĵ + xz k̂. S is a surface bounded by the planes x = 0, y = 0, z = 0, x = 3, y = 2, and z = 1. If n̂ is the unit vector normal...
#114 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......