RULE OF THUMB: Just because it's technologically POSSIBLE doesn't means it's LEGAL.
All information on this page excerpted from the Library of Congress, Copyright Office, Circular 21.
A single copy may be made of any of the following by or for a teacher at his or her individual request for his or her scholarly research or use in teaching or preparation to teach a class:
Multiple copies (not to exceed in any event more than one copy per pupil in a course) may be made by or for the teacher giving the course for classroom use or discussion, provided that:
Notwithstanding any of the above, the following shall be prohibited:
In accordance with Fair Use, instructors may use videos in their online classes as long as they do not show the entire movie. Here is an article pertaining to using videos in the online environment.
M. P. Baker Library provides access to several databases that allow you to stream videos/movies with proper copyright clearance.