multiply two vectors, component by component [closed]

Question

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}

Answer 1

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}