Vector calculus identities

Vector calculus identities are rules for maths involving vectors. Vectors are like arrows that have direction and magnitude. Imagine you are pushing a toy car up a hill; the vector would describe the force of your pushing and would have a magnitude (how big it is) and a direction (which way it is pushing the car). Vector calculus identities help us figure out how pushing the car up the hill will change if we make the pushing force bigger, or change which way we are pushing.