An agricultural vehicle header having a frame, at least one support arm extending, a cutter assembly attached to the distal ends of the support arms, a draper belt with an upper belt portion located above the support arms, and a parallel linkage connected to each support arm to operatively connect the cutter assembly to the frame. The linkage includes upper and lower links. The upper belt portion extends along a cross-belt direction that is perpendicular to a travel direction of the upper belt portion, and the proximal pivots of the upper and lower links are positioned on a line that is oriented at an angle of 60 to 120 degrees relative to the cross-belt direction when the header is in a freestanding static state.