Answers to quiz 8

1. ∇×(∇φ) = 0; ∇·(∇φ) ≠ 0 (Laplacian); ∇×(∇×V) ≠ 0; ∇·(∇×V) = 0.
2. xi + yj + zk, yzi + zxj + xyk, (y+z)i + (z+x)j + (x+y)k are conservative, (y2+z2)i + (z2+x2)j + (x2+y2)k is not.

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