Is there any technique by which I can confirm that after doing a double digestion of a vector it is completely double digested by both the enzyme or only it is digested by single enzyme? How should we confirm that?
If u have a double digest, u would observe 2 bands. Whereas, only single band of the digested vector would be observed in case of a single digest.
If your question relates to digesting the vector for cloning in the MCS region, U need to experiment the sequential digestions with time to assess the complete digestion of the vector template(of known quantity or conc) with each enzyme if u have questionable results and then calculate appropriately for the Units of the enzyme required for digestion of the given Vector.
MCS sequences are not long enough after double digestion to be visible on 1% gel in case of null vector not containing the gene sequence (Insert). So it is almost impossible to get two bands for null vector double digestion.
You can run your digested plasmid alongside undigested plasmid.
Digested plasmid will be linearized, so you will have clean single band of the expected size.
Undigested plamid is supercoiled or may have several form so it will be seen as multiple bands or curved band slightly lower than the expected size (ran faster).