Vectors are one of the basic concepts for physics and advanced in mathematics. Vectors are used to represent a quantity with their directions. Vector quantities are those which have a specific direction. For example Torque is a vector quantity.Its important to find its direction clockwise or anticlockwise.
Obviously they are important in physics as you would not be able to study physics without them. Read your NCERT well or refer some side book like pradeep. You will understand vectors.
Best of luck.