Question

A vector field with a vanishing curl is called as __________

(a) Irrotational

(b) Solenoidal

(c) Rotational

(d) Cycloidal

The question was asked in my homework.

I'm obligated to ask this question of Divergence and Curl of a Vector Field topic in portion Vector Differential Calculus of Engineering Mathematics

Answer 1

Right answer is (a) Irrotational

To elaborate: By the definition: Mathematically,

If \(∇ ⤫ \vec{f}  = 0 ↔ \vec{f} \) is an Irrotational Vector field.