What I ask is if $1$ meter in $x$ direction is $2$ times bigger than $1$ meter in $y$ direction. What is the length of hypotenuse when for ex, $3$ in $x$ direction and $4$ in $y$ direction ?
I thought this when i was studying weighted least squares and there uses Mahalanobis distance. It is a very similar idea, but there uses the variance-covariance to compare scales of dimensions. I couldn't directly link variance to exact scale factor like $2$ in this example. I did something but i am not sure if it is right.
++ After thinking, i can rephrase better. Now i think of a moving object that moves with $V$ speed in $y$ direction and $2V$ speed in $x$ direction. If it goes along perpendicular axes, it would take $5.5$ time to move from one corner to another. What is time required if this object moves from one corner to another, diagonally?
Thanks in advance