How to find the component form of a vector

The video tutorial introduces vectors on a plane and explains how to plot them on a Cartesian coordinate system. It discusses naming points and vector components, and then focuses on finding the component form of a vector. The tutorial provides an example calculation and explains the significance of component form, including how it standardizes vector representation and aids in problem-solving.

What are the different forms of equations mentioned in relation to vectors?

Why is it important to have the initial point of a vector at (0,0) in component form?

How does the component form of a vector help in solving different types of problems?