Case 3. Projection of a line parallel to both HP and VP

A line AB having length 80 mm is parallel to both HP and VP.  The line is 70 mm above HP, 60 mm in front of VP. End B is 30 mm in front of right PP. To draw the projection of line AB, assume the line in the first quadrant. The projection points of AB on the vertical plane VP, horizontal plane HP and Right Profile plane PP is shown in figure 3(a). Since the line is parallel to both HP and VP, both the front view a'b' and the top view ab are in true lengths.  Since the line is perpendicular to the right PP, the left side view of the line will be a point a΄΄(b΄΄). After projection on to the projection planes, the planes are rotated such that all the three projection planes lie in the same planes.  The multi-view drawing of line AB is shown in Figure 3(b).

Figure 3. Projection of line parallel to both HP and VP.