# No ideas to collapse $\boldsymbol{(\nabla\times B)\times C-(B\times\nabla)\times C}+\boldsymbol\nabla(\boldsymbol B\bullet\boldsymbol C)$

I v expanded the vector calculus terms and added them :)

$$\dbinom{\boldsymbol{B}}{\boldsymbol{C}}=\dbinom{b_1\boldsymbol{i}+b_2\boldsymbol{j}+b_3\boldsymbol{k}}{c_1\boldsymbol{i}+c_2\boldsymbol{j}+c_3\boldsymbol{k}}$$

$$\boldsymbol{(\nabla\times B)\times C-(B\times\nabla)\times C}+\boldsymbol\nabla(\boldsymbol B\bullet\boldsymbol C)\\=\boldsymbol{i}\left(\frac{\partial(b_1c_1)}{\partial x}+\frac{\partial(b_1c_2)}{\partial y}+\frac{\partial(b_1c_3)}{\partial z}\right)\\+\boldsymbol{j}\left(\frac{\partial(b_2c_1)}{\partial x}+\frac{\partial(b_2c_2)}{\partial y}+\frac{\partial(b_2c_3)}{\partial z}\right)\\+\boldsymbol{k}\left(\frac{\partial(b_3c_1)}{\partial x}+\frac{\partial(b_3c_2)}{\partial y}+\frac{\partial(b_3c_3)}{\partial z}\right)$$ However I v n ideas to re-collapse it into a term in nabla!! Who can help me!! :((

-
What is I v n? I suspect it means I have no. This is not Twitter with a 140 character limit-please spell it out. – Ross Millikan Apr 30 '13 at 13:55

Remember the product rule: $$\frac{\partial(ab)}{\partial w}=a\frac{\partial b}{\partial w}+b\frac{\partial a}{\partial w}$$