Can we use parallelogram and triangle rules as long as it is a vector? Such as the title

Can we use parallelogram and triangle rules as long as it is a vector? Such as the title

Yes, in fact, the standard definition of vector in physics is not "physical quantity with size and direction" in high school textbooks, but "physical quantity applicable to parallelogram rule - this is the definition of vector in college physics
Of course, the physical quantities that apply to the parallelogram rule must also apply to the triangle rule