(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is actually a concept question, but since its kind of elementary i post it here

I understand the calculation of the cross product, what i do not understand is why the cross product that only involve in 2 dimension will have the result of 3rd dimension

2. Relevant equations

A cross B = AB sin

A dot B = AB cos

3. The attempt at a solution

If i analyze the equation, i find that Asin is equal to A's y component, and if you times that with B, it will only result in a vector perpendicular to B and has the magnitude of A's y component times B, how does that end up with vector that is perpendicular to both A and B

and the right hand rule doesn't explain it either, it just shows how to obtain the direction of the third vector

besides, how does a difference in trigonometric function made cross product a vector, and scalar product a scalar?

from my understanding, AB cos is just like AB sin, it only gives a number, so where does the direction comes from

the concept of vector multiplication is really confusing, i hope someone can help explaining this

Thanks in advance

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# Homework Help: Question about cross product

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