From cartesian to polar with points

Hi If i have 100 points that define vectors in this way: V=[a1,b1;a2,b2;a3,b3;a4,b4...] a1, b1 is the location of starting point a2,b2 is the location of ending points and in this way I defined the first vector (line)

a3, b3 is the location of 2nd starting point a4,b4 is the location of 2nd ending points

...

How i can convert these vectors (not from axis origin) into polar coordinates? If I use point by point it's calculated for each point from the origin.

Thanks

Answer 1

[Babak]

 vectors = V(2:2:end) - V(1:2:end);

 % vector has half the size(1) of V

 X = vector(:,1);
 Y = vector(:,2);
 [THETA,RHO] = cart2pol(X,Y);