Modeling Vectors in R2 CSc 1350: Programming Project # 5 Implementing a 2-D Vector Clas:s Out: 11/6 Due: 11/17 by 11:50 PM Learning Objectives Implementing a Class Writing Constructors, Mutators and Accessors Testing a Class Definition 1. A vector is defined as an element of a vector space. In the commonly used vector space R\" (Euclidean n-space), a vector is denoted by n coordinates and can be specified as 11, 22, ,m). Vectors are usu- ally referred to by the number of coordinates they have. A 2-dimensional vector T1,T2 is may be referred to as a two-vector. More generally, an n-dimensional vector may be referred to as n-vector Binary operations such as addition, subtraction and multiplication by scalars are defined on vectors. Vector multiplication is not unique; different types of vector products, such as the dot product and cross product are defined as binary operations on vectors (z,y), denoted 11 Definition 2. The vector norm of a two-vector u is equals to vr2 +y2 , Definition 3. The unit vector of a two-vector u (x,y), denoted v = ir = ir. T i). The norm of the unit vector is I. The unit vector for the zero vector is undefined. Definition 4. Two vectors in R2, u,-(z,y) and v2 = T2,p) are equal if and only if corresponding coordinates are equal; that is, x - T2 and Adding Vectors in R2 Duncan Fall 2017

How to implement a 2d vector class in Java?