Why Is My Calculation of Curl (A X B) Incorrect?

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SUMMARY

The calculation of the curl of the vector cross product A X B is incorrectly approached using the vector triple product formula. The correct expression for the curl is given by the formula Δ X (A X B) = (Δ.B)A - (Δ.A)B, which simplifies to (div B)A - (div A)B. The user failed to apply the explicit steps for calculating the curl, specifically the partial derivatives involved in the vector components.

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Homework Statement



The problem is to find the value of Curl of A X B.

I used the usual vector triple product formula to write as below.

Δ X (A X B) = (Δ.B)A - (Δ.A)B = (div B)A - (divA)B


Homework Equations




But this is not the answer. Please suggest where i was wrong.


The Attempt at a Solution

 
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sravan_r said:

Homework Statement



The problem is to find the value of Curl of A X B.

I used the usual vector triple product formula to write as below.

Δ X (A X B) = (Δ.B)A - (Δ.A)B = (div B)A - (divA)B


Homework Equations




But this is not the answer. Please suggest where i was wrong.


The Attempt at a Solution



Carry out the steps explicitly: [tex][\nabla \times (A \times B)]_x = <br /> \frac{\partial}{\partial y} (A \times B)_z - \frac{\partial}{\partial z} (A \times B)_y,[/tex] etc.

RGV
 

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