in reply to Dot product of three matrices

I guess I'm a little rusty in vector math, but can anyone tell me what the dot product of three matrices means? (i.e. is there a geometric interpretation?) And in what field of study does it come in handy?

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Re^2: Dot product of three matrices
by davidrw (Prior) on Aug 01, 2005 at 18:15 UTC
    I think by "three matrices" OP meant "two vectors" .. it's just that instead of having $Ax,$Ay,$Az and $Bx, $By, $Bz, OP is instead passing [$Ax, $Bx], [$Ay,$By], [$Az,$Bz] to his sub.
      Is he?
      $sum += $$x[$i] * $$y[$i] * $$z[$i];
      The above code implies bad things but he is in fact calculating the dot product of 3 vectors that are 2D. To sum it up: not the clearest code ever :-)