I think
Math-VectorReal will work better for you.
#!/usr/bin/perl
use warnings;
use strict;
use Math::VectorReal;
my $a = vector( 1, 2, 3 );
my $b = vector( 4, 5, 6 );
print "Vector as string (MatrixReal default format)\n\$a => ", $a;
print $a->stringify( "Formated Output \$a => { %g, %g, %g }\n" );
print "Vector as string (MatrixReal default format)\n\$b => ", $b;
print $b->stringify( "Formated Output \$b => { %g, %g, %g }\n" );
print 'dot product $a . $b =', $a . $b, "\n\n";
print 'cross product $a x $b =', $a x $b, "\n\n";
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