distance between orthocentre and circum centre by vector method

Hii
assume the 3 vertices of the triangle be postion vectors as a,b,c and having done that you can find out the altitudes of the triangle passing from the vertex and slope perpendicular to the base on which it falls

find now the point of intersection which will give you orthocentre. and in the same fashion you can find out the values of circumcentre.

Best of Luck