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

  • Thread starter Thread starter sravan_r
  • Start date Start date
  • Tags Tags
    Curl Value
sravan_r
Messages
1
Reaction score
0

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

 
Physics news on Phys.org
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: [\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
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top