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Vector Calculus Mock Tests

5 questions available

Vector Calculus Mock Test 1

Questions: 5

Sample Questions

GATE Mathematics
The vector field F = (y − z)î + (z − x)ĵ + (x − y)k̂ is
A solenoidal but not irrotational
B irrotational but not solenoidal
C both solenoidal and irrotational
D neither solenoidal nor irrotational
GATE Mathematics
The divergence of the vector field F = (x², y², z²) is
A 2x + 2y + 2z
B x² + y² + z²
C 2(x + y + z)
D 0
GATE Mathematics
The vector field F = (y, −x, 0) has curl equal to
A (0, 0, −2)
B (0, 0, 2)
C (1, 1, 1)
D (0, 0, 0)
GATE Mathematics
The vector field F = xî + yĵ + zk̂ is
A solenoidal but not irrotational
B irrotational but not solenoidal
C both solenoidal and irrotational
D neither solenoidal nor irrotational
GATE Mathematics
The vector field F = (y, −x, 0) has curl equal to
A (0, 0, −2)
B (0, 0, 2)
C (1, −1, 0)
D (2, 0, 0)

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