Vector Product

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@interact

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def _(x=(1,5,1),y=(1,5,1),z=(1,5,1)):

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    ov=(0,0,0); av=vector(SR,[x,y,z])

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    bv=vector(SR,[x,y,-z]); cv=av.cross_product(bv)

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    a=arrow3d(ov,av,color='#ff3636',

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              width=(x+y+z)/1.5)+text3d('a',av*1.1)

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    b=arrow3d(ov,bv,color='#3636ff',

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              width=(x+y+z)/1.5)+text3d('b',bv*1.1)    

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    c=arrow3d(ov,cv,color='#ff36ff',

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              width=(x+y+z)/1.5)+text3d('axb',cv*1.1)

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    pretty_print('a={x,y,z}; b={x,y,-z}')

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    (a+b+c).show()

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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