Question

How do you write the ordered triple that represents TM given T(2,5,4) and M(3,1,0)?

Answer 1

`<1, -4, -4>`.

Explanation:

In 3-D space referred to a a rectangular frame Ox, Oy and Oz,

T(2, 5, 4) means `vec(OT) = <2, 5, 4> and`

`M(3, 1, 0)` means `vec(OM)=<3, 1. 0>`.

Points are located by coordinates.

Line segments are represented by vectors.

So, TM is represented by

`vec(TM)=vec(OM)-vec(OT`

`=<3, 1, 0> -<2, 5, 4>`

`=<3-2, 1-5, 0-4>`

`=<1, -4, -4>`.