Why is it necessary for engineers, designers, and technologists to make sure that their drawings are fully dimensioned?

It is necessary, because when engineers build the design or model, they need to make sure that it does not turn out 2 dimensional but,also so that they can make their"project"more accurate and not just up or whatever."As a general guideline to dimensioning, try to think that you would make an object and dimension it in the most useful way. Put in exactly as many dimensions as are necessary for the crafts person to make it -no more, no less. Do not put in redundant dimensions. Not only will these clutter the drawing, but if "tolerances" or accuracy levels have been included, the redundant dimensions often lead to conflicts when the tolerance allowances can be added in different ways.
Repeatedly measuring from one point to another will lead to inaccuracies. It is often better to measure from one end to various points. This gives the dimensions a reference standard. It is helpful to choose the placement of the dimension in the order in which a machinist would create the part. This convention may take some experience."This may or may not help but it will give you an idea to what your looking for.