Question

How do you find the component form and the magnitude of the vector V?

Answer 1

see explanation

Explanation:

given the endpoint (x, y)

the component form is
`\left[\begin{array}{ccc}x\\y\\\end{array}\right]`

the component form of (3, - 2 ) is
`\left[\begin{array}{ccc}3\\-2\\\end{array}\right]`

the magnitude of a vector
`\left[\begin{array}{ccc}x\\y\\\end{array}\right]` is

`√(x^2+y^2)`

hence magnitude =
`√(3^2+(-2)^2)` =
`√(9+4)` =
`√(13)`