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Would like to take two vectors and multiply components at the same index.For example {a1, a2, a3} x {b1, b2, b3} to produce {a1 b1, a2 b2, a3 b3}. The following works, but are there some alternatives?

aMat = DiagonalMatrix[{a1, a2, a3}];
bMat = DiagonalMatrix[{b1, b2, b3}];
Diagonal @ Dot[aMat, bMat] 
result: {a1 b1, a2 b2, a3 b3}
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    $\begingroup$ {a1,a2,a3}*{b1,b2,b3} will give the required answer $\endgroup$ – mikado Sep 8 '18 at 19:22
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No need to do anything fancy. This is just how ordinary list multiplication works:

{a1, a2, a3} {b1, b2, b3}

yields

{a1 b1, a2 b2, a3 b3}
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  • $\begingroup$ thanks! didn't even think to try that. $\endgroup$ – user6546 Sep 8 '18 at 19:25

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