What does it mean, two vectors v and w? Where do I put those vectors? What are these vectors?

Question

584. Let P be the circumcenter and G be the centroid of a triangle formed by placing two

perpendicular vectors v and w tail to tail. Express GP in terms of vectors v and w.

Answer 1

A vector has a magnitude and position. Let the tail of both vectors be at the origin (0,0).. Let the head of v be at (0,v) and the head of w be at (w, 0). Now connect the heads to form a right triangle. The vertices are at (0,0), (0,v), and (w,0).

The centroid G is located at ((x1+x2+x3)/3, (y1+y2+y3)) or ((0+0+w))/3, (0+v+0)/3), or (w/3,v/3)

Circumcenter:

Draw a perpendicular bisector for each side. The should intersect at the hypotenuse. Draw a line from the origin to this point. This forms another right triangle, with sides 0.5w and 0.5v. The circumcenter is its hypotenuse

The circumcenter is P=√{(w/2)²+(v/2)²}

wish I could draw a picture, not sure what is required beyond this