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Thread: cross product with scalars: Given A=4a_x-2a_y+6a_z, find a_x x(cross) A

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    cross product with scalars: Given A=4a_x-2a_y+6a_z, find a_x x(cross) A

    In my electromagnetics class, I am given a vector A=4ax-2ay+6az and asked to find ax x(cross) A. it appears to be a cross product but does it just work as a scalar multiplier? so the answer would be (4*4,4*-2,4*6)? or is it handled a different way? The textbook doesn't touch on this and the rest of the internet has also been unfruitful.

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    Quote Originally Posted by Tramachine View Post
    In my electromagnetics class, I am given a vector A=4ax-2ay+6az and asked to find ax x(cross) A. it appears to be a cross product but does it just work as a scalar multiplier? so the answer would be (4*4,4*-2,4*6)? or is it handled a different way? The textbook doesn't touch on this and the rest of the internet has also been unfruitful.
    Hi Tramachine,

    I think that the notation means that [tex]a_x[/tex], [tex]a_y[/tex] and [tex]a_z[/tex] are the unit vectors on the coordinate axes, and (4,-2,6) are the coordinates of A with respect to that basis.

    [tex]a_x=(1,0,0)[/tex] is just an ordinary vector, and you must compute [tex](1,0,0)\times(4,-2,6)[/tex].

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