The 50/75 Ohm (there are other like 110 Ohm) are the Wave-Impedance, it has nothing to do with the DC-Resistance you can measure with your DMM. In high-frequency-applications the sources and sinks have to be matched for zero reflection. There were some conventions to what impedance a system is matched. Today 50 or 75 Ohms are the most common used systems. Since we talk about wave-propgation we don't have the same voltage over the system, but a dependency on location (the structures are big with respect to the wavelength). A 50Ohm-Cable behaves like a 50 Ohm-Resistance. That means: If the source "looks" into the cable it sees a 50 Ohm sink -> No reflection. If we have a missmatch on the other End of the cable, the reflection will happen there and travel back through the cable to the source. If its matched -> No reflection on the end.
A DMM is normally for low-frequency only, you want minimal current in Voltage-mode, therefore a nearly infinite input-impedance is wanted. The same for scopes. More advanced high-frequency scopes have often a switch to change from 10Meg to 50Ohm.
There is a large variety of good and bad and even worse (and thats BNC

) connectors. As NANDBlog said you have to be careful with 50, 75 connectors. They will maybe fit somehow, but you can damage them by interchanging them. And real RF-Connectors are very expensive.