**Unformatted text preview: **(2,1) to the point (1,2) along the smaller arc lying on the circle . 1 ) 1 ( ) 1 ( 2 2 =-+-y x 3. Let k j i a 3 2 1 a a a + + = be a constant vector. Let . | | , 2 2 2 z y x r z y x + + = = + + = r k j i r Find all functions f ( r ) with the property that . ) ) ( ( ≡ × ⋅ ∇ r a r f [Hint: One can show that ) ( ) ( ) ( G F F G G F × ∇ ⋅-× ∇ ⋅ ≡ × ⋅ ∇ for any two differentiable vector fields ). , , ( ), , , ( z y x z y x G F ]...

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- Spring '10
- BLUMAN
- Vector Space, Force, Magnetic Field, Euclidean vector, Vector field