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(2) For a differentiable vector field f, which of the following is (are) incorrect? (a) ▼ × (▼ × ƒ) = ▼(▼ · ƒ) + ▼² (ƒ). (b) ▼x (V x ƒ) = ▼(▼ · ƒ) — ▼² (ƒ). (c) (ƒ · ▼ ) ƒ = ▼ ( - ƒ · ƒ) — ƒ × (▼ × ƒ). (d) (ƒ · ▼)ƒ = ▼( −- ƒ · ƒ) + ƒ × (▼ × ƒ).

(2) For a differentiable vector field f, which of the following is (are) incorrect? (a) ▼ × (▼ × ƒ) = ▼(▼ · ƒ) + ▼² (ƒ). (b) ▼x (V x ƒ) = ▼(▼ · ƒ) — ▼² (ƒ). (c) (ƒ · ▼ ) ƒ = ▼ ( - ƒ · ƒ) — ƒ × (▼ × ƒ). (d) (ƒ · ▼)ƒ = ▼( −- ƒ · ƒ) + ƒ × (▼ × ƒ).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(2) For a differentiable vector field f, which of the following is (are) incorrect? (a) ▼ × (V × ƒ) = ▼(▼ · ƒ) + ▼²(ƒ). . . (b) ▼ × (V x ƒ) = ▼ (▼ · ƒ) – ▼²(ƒ). - . (©) (ƒ · ▼)J = V ( J · ƒ) − ƒ × (▼ × ƒ). (d) (ƒ · ▼ )ƒ = ▼( − ƒ · ƒ) + ƒ × ( ▼ × ƒ ) . . 2
Transcribed Image Text:(2) For a differentiable vector field f, which of the following is (are) incorrect? (a) ▼ × (V × ƒ) = ▼(▼ · ƒ) + ▼²(ƒ). . . (b) ▼ × (V x ƒ) = ▼ (▼ · ƒ) – ▼²(ƒ). - . (©) (ƒ · ▼)J = V ( J · ƒ) − ƒ × (▼ × ƒ). (d) (ƒ · ▼ )ƒ = ▼( − ƒ · ƒ) + ƒ × ( ▼ × ƒ ) . . 2
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