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

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

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.