Saladsamurai
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I cannot seem to figure out how to compute this dot product?!
If (\nabla\times \mathbf{v})=(4z^2-2x)\hat{i}+2z\hat{k} and d\mathbf{a}=dydz\hat{i}
Then shouldn't the DOT PODUCT be:
(\nabla\times \mathbf{v})\cdot d\mathbf{a}=(4z^2-2x)\hat{i}*dydz\hat{i}=(4z^2-2x)dydz ?
But the book says its just 4z^2dydz
What am I doing wrong here??
Here is the original question:
If (\nabla\times \mathbf{v})=(4z^2-2x)\hat{i}+2z\hat{k} and d\mathbf{a}=dydz\hat{i}
Then shouldn't the DOT PODUCT be:
(\nabla\times \mathbf{v})\cdot d\mathbf{a}=(4z^2-2x)\hat{i}*dydz\hat{i}=(4z^2-2x)dydz ?
But the book says its just 4z^2dydz
What am I doing wrong here??
Here is the original question: