Modeling Vectors in R CSc 1350: Programming Project # 4 Implementing a 2-D Vector Class 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 (ri, ..). Vectors are usu- ally referred to by the number of coordinates they have. A 2-dimensional vector (xi, r2) 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 Definition 2. The vector norm of a two-vector u = (1,y), denoted 11 , is equals to v+ Definition 3. The unit vector of a two-vector u-,y), denoted u = = ). The norm of the unit vector is I. The unit vector for the zero vector is undeined. Definition 4. Two vectors in R2, t'.-(n-Y1) and v2 = 12th) are equal if and only if corresponding con rdinates are equal: that is. Il = 2 and Adding Vectors in R2 Duncan Fall 2017 Modeling Vectors in R CSc 1350: Programming Project # 4 Implementing a 2-D Vector Class 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 (ri, ..). Vectors are usu- ally referred to by the number of coordinates they have. A 2-dimensional vector (xi, r2) 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 Definition 2. The vector norm of a two-vector u = (1,y), denoted 11 , is equals to v+ Definition 3. The unit vector of a two-vector u-,y), denoted u = = ). The norm of the unit vector is I. The unit vector for the zero vector is undeined. Definition 4. Two vectors in R2, t'.-(n-Y1) and v2 = 12th) are equal if and only if corresponding con rdinates are equal: that is. Il = 2 and Adding Vectors in R2 Duncan Fall 2017