A vector P is given by P^{\to} = x^{3}ya^{\to}_{x}−x^{2}y^{2}a^{\to}_{y}−x^{2}yza^{\to}_{z} . Which one of the following statements is TRUE?

Correct Answer is : P is solenoidal, but not irrotational

P is solenoidal, but not irrotational

P is irrotational, but not solenoidal

P is neither solenoidal nor irrotational

P is both solenoidal and irrotational

GATE Electronics and Communications (EC) 2015 Shift 1 Solved Paper

Question : 37 of 65

Marks: +1, -0

A vector P is given by

P↖{→} = x^{3}ya↖{→}_{x}−x^{2}y^{2}a↖{→}_{y}−x^{2}yza↖{→}_{z}

. Which one of the following statements is TRUE?

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