We can add vectors by using the parallelogram method or the triangle method to find the sum. The magnitude of a vector is a scalar: ‖ v ‖ = x 2 + y 2

A unit vector u has magnitude 1 and can be found by dividing a vector by its magnitude: u = 1 ‖ v . The standard unit vectors are i = 〈 1 , 0 〉 and j = 〈 0 , 1 〉 .

vector — a mathematical object that has both magnitude and direction. parallelogram method — a method for finding the sum of two vectors; position the vectors so they share the same initial point; the vectors then form two adjacent sides of a parallelogram; the sum of…. triangle method — a method for finding the sum of two vectors; position the vectors so the terminal point of one vector is the initial point of the other; these vectors then form two sides of a…. component — a scalar that describes either the vertical or horizontal direction of a vector.