Most of the people wrongly use these words as they are verbs related to vision. we can’t use it interchangeably. Though they are vision related verbs, they have to be used appropriately depending on the situation.
SEE vs LOOK vs WATCH
Passive or Effortless action which means No effort needed
Something that comes into our sight.
I saw you yesterday
Have you seen my bag?
I saw a thief in your house
Did you see my spectacles?
I saw this book last night
Look is used when you want to give a particular direction to your eyes. When you ‘look’ at something, it means you concentrate and focus on it. You see something specific at one time.
Look at me
Come and look at the photo
Look at the sky
Look at the clock and tell me the time
My mom is looking at me
Watch is used when there is a movement involved. You concentrate on something for some amount of duration, like a movie/sport.
I am watching movie
I like to go to the zoo and watch the animals while they are playing.
Your mom will be watching you