Help with unit vector for a magnetic field

AI Thread Summary
The discussion centers on evaluating the cross product of the velocity of a charge and unit vectors related to a magnetic field problem. There is confusion regarding the calculation of the cross product, particularly with the terms j x j and j x i, leading to questions about the expected positive answer. Participants emphasize the importance of a clear problem statement, as the lack of detail regarding the charge's sign and the specific setup complicates the analysis. The position of the proton and the magnetic field's calculation at a different point are also highlighted as crucial elements. Overall, clarity in the problem's presentation is deemed essential for accurate resolution.
guyvsdcsniper
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Homework Statement
What is the magnetic field at the position of the dot in the figure?
Relevant Equations
Cross Product
So when evaluation the cross product of the velocity of the charge and the unit vectors associated with the point I am getting

v x r = j x [ i + j].
Well j x j is 0.
j x i = -k, but yet the answer is positive. Why is this?

Screen Shot 2021-11-07 at 9.15.18 PM.png
 
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The vector r is the position of the point relative to the proton, not the position of the proton.
 
Why should there be a magnetic field? What is given in this problem that you did not include in the Homework Statement and is not shown in the picture you posted? We are not even told the sign of the charge.
 
kuruman said:
Why should there be a magnetic field? What is given in this problem that you did not include in the Homework Statement and is not shown in the picture you posted? We are not even told the sign of the charge.
The picture shows a proton at (1,1) with a given velocity and asks for the magnetic field at (-1,-1). It seems pretty clear to me.
 
Orodruin said:
The picture shows a proton at (1,1) with a given velocity and asks for the magnetic field at (-1,-1). It seems pretty clear to me.
Yes, I see that now that I switched browsers.
 
kuruman said:
Yes, I see that now that I switched browsers.
Yes, I agree that we can figure out the problem which likely is to be solved.

However, I agree with your previous post in that a clear problem statement would be a great help. Especially one written as text and readable with any browser.
 
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