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Thread: Sketch Cross Product

  1. #1
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    Sketch Cross Product

    A current-carrying filament is subjected to a strong magnetic field within an experimental chamber. It is required to find the force on the filament. The current may be modelled in three-dimensional space as:
    𝐼=2𝑖+3𝑗−4𝑘
    and the magnetic field as:
    𝐵=3𝑖−2𝑗+6𝑘


    Find the Cross Product of these two vectors to ascertain the characteristics of the force on the filament (i.e. find I x B).
    Sketch this Cross Product (or use software to do so).

    I have fond the cross product I x B = 10i - 24j + -13k

    How do I sketch this or input into a software
    Last edited by topsquark; Dec 20th 2018 at 04:13 AM. Reason: Typo
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  2. #2
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    Re: Sketch Cross Product

    Do you know how to draw a single vector in an xyz- coordinate system?
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  3. #3
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    Re: Sketch Cross Product

    No I have never been shown and do not seem to be able to find the right path I realise using the fingers one horizontal one vertical and the other at an angle
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  4. #4
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    Re: Sketch Cross Product

    To plot the vector $ai + bj + ck$, draw a 3D $xyz$ coordinate system. Then plot the point $(a,b,c)$ on it. Finally draw a straight line from the origin $(0,0,0)$ to your point $(a,b,c)$ and put an arrowhead on that end. I have attached a picture illustrating this with the vector $1i + 2j + 3k$. Click the picture to enlarge it.
    Attached Thumbnails Attached Thumbnails Sketch Cross Product-xyz.jpg  
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  5. #5
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    Re: Sketch Cross Product

    Walagaster I think I have cracked it with your help
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