Answer:
The components of the vector are [tex]x = 2[/tex] and [tex]y = 6[/tex], respectively.
Step-by-step explanation:
The components of the vector is equal to the vector position of the terminal point relative to the initial point ([tex]\vec v[/tex]), that is:
[tex]\vec v = B(x,y) - A(x,y)[/tex] (1)
Where:
[tex]A(x,y)[/tex] - Initial point.
[tex]B(x,y)[/tex] - Terminal point.
If we know that [tex]A(x,y) = (-5,-5)[/tex] and [tex]B(x,y) = (-3,1)[/tex], then the vector is:
[tex]\vec v = (-3,1) -(-5-5)[/tex]
[tex]\vec v = (2, 6)[/tex]
The components of the vector are [tex]x = 2[/tex] and [tex]y = 6[/tex], respectively.
