If the vector function F^{\to} = a_\stackrel{\^}{x} (3y−k_{1}z) + a_\stackrel{\^}{y} (k_{2}x−2z) −a_\stackrel{\^}{z} (k_{3}y + z) is irrotational, then the values of the constants k 1 , k 2 and k 3 , respectively, are

Correct Answer is : 0.0, 3.0, 2.0

GATE Electronics and Communications (EC) 2017 Shift 2 Solved Paper

Question : 38 of 65

Marks: +1, -0

If the vector function

F↖{→} = a_{x}↖{\^} (3y−k_{1}z) + a_{y}↖{\^} (k_{2}x−2z) −a_{z}↖{\^} (k_{3}y + z)

is irrotational, then the values of the constants k₁, k₂ and k₃, respectively, are

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