Question

Let the vector \mathbf{v}v have an initial point at (-5, -5)(−5,−5) and a terminal point at (-3, 1)(−3,1). Determine the components of vector \mathbf{v}.V.

Answer 1

Answer:

The components of the vector are $x = 2$ and $y = 6$, 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 ($\vec v$), that is:

$\vec v = B(x,y) - A(x,y)$ (1)

Where:

$A(x,y)$ - Initial point.

$B(x,y)$ - Terminal point.

If we know that $A(x,y) = (-5,-5)$ and $B(x,y) = (-3,1)$, then the vector is:

$\vec v = (-3,1) -(-5-5)$

$\vec v = (2, 6)$

The components of the vector are $x = 2$ and $y = 6$, respectively.