Where is this term coming from?

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In summary, the conversation discusses how the extra x in the second term of a formula may have come from the x hat, j hat, and z hat parts of the product rule. The conversation concludes that because the formula is in the x direction only, the y hat and z hat parts can be ignored and the extra x can be explained through the product rule.
  • #1
bigmike94
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I am back again to ask for your mathematical help.
I got the same result apart from that extra x in the second term? I have boiled it down to that it must have come from maybe the x hat j hat and z hat part of the product rule? Any help would be grateful thank you!
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  • #2
It comes from numerator of the formula above, x i-hat.
 
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  • #3
@bigmike94 can you write down what ##A_x## is?
 
  • #4
anuttarasammyak said:
It comes from numerator of the formula above, x i-hat.
Yeah I had a guess what assumed that was it but why is it included and not y or z aswell? Maybe I am missing an i hat which will get rid of the j and z hat cos of the dot product?
 
  • #5
PeroK said:
@bigmike94 can you write down what ##A_x## is?
I’m not sure how to type maths in here but I think you have just helped me crack it, because it’s in the x direction only we ignore y hat and z hat, then In the product rule you’re left with the extra x.

I’m not sure if that makes sense to you? But yeah I think I get it now thank you
 
  • #6
bigmike94 said:
I’m not sure how to type maths in here but I think you have just helped me crack it, because it’s in the x direction only we ignore y hat and z hat, then In the product rule you’re left with the extra x.

I’m not sure if that makes sense to you? But yeah I think I get it now thank you
By definition $$\vec A = A_x \hat i + A_y \hat j + A_z \hat k$$This can also be expressed as:$$A_x = \vec A \cdot \hat i$$

You need to learn some LaTex:

https://www.physicsforums.com/help/latexhelp/
 
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