GATE_AE_2027_MOCK_04_Q13
GATE 2027 Aerospace Engineering All-India Master Mock 04 (Aerospace Structures, Thin-Walled Beams & Aeroelasticity)
MCQ · 1 Mark
Engineering Mathematics • Calculus • Partial Derivatives & Vector Calculus
The divergence of the vector field V = x^2 i + 2y j - z k at the point (1, 1, 1) is:
(A) 3
(B) 1
(C) 2
(D) 0
Answer Key:
A
Step-by-Step Verified Solution
### Solution: Div(V) = d(x^2)/dx + d(2y)/dy + d(-z)/dz = 2x + 2 - 1 = 2x + 1. At (1, 1, 1): 2(1) + 1 = 3. Correct: A.