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

[sravan_r]

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

 

[Ray Vickson]

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

RGV