Consider the following vector fields: A = xa x + ya y + za z B =

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Consider the following vector fields:
A = xa+ ya+ zaz
B = 2ρ cos Φaρ – 4ρ sin ΦaΦ + 3az
C = sin θ ar + r sin θaΦ
Which of these fields are 

(a) Solenoidal and 

(b) Irrotational?

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