Given:
Vector v have an initial point at (7, -6) and a terminal point at (1, -4).
To find:
The components of vector v.
Solution:
It initial point of a vector is [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then the vector is
[tex]\mathbf{v}=\left<x_2-x_1,y_2-y_1\right>[/tex]
Vector v have an initial point at (7, -6) and a terminal point at (1, -4). so, vector v is defined as
[tex]\mathbf{v}=\left<1-7,-4-(-6)\right>[/tex]
[tex]\mathbf{v}=\left<-6,-4+6\right>[/tex]
[tex]\mathbf{v}=\left<-6,2\right>[/tex]
Therefore, vector is [tex]\mathbf{v}=\left<-6,2\right>[/tex] and its x and y components are -6 and 2 respectively.
