engineering recuitment GATE EE 2023-24 Test Series Engineering Mathematics Calculus Vector Calculus

If V̅ = (x + 2y + az) i̅ + (bx – 3y – z) j̅ + (4x + cy + 2z) k̅ is irrotational, then which of the following is/are correct?

1
a = 4, b = 2, c = -1
2
a = -4, b = -2, c = -1
3
a = 1, b = 4, c = -1
4
a = -1, b = -4, c = -1
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