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

Jan 30, 2017

$< 1 , - 4 , - 4 >$.

#### Explanation:

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

T(2, 5, 4) means $\vec{O T} = < 2 , 5 , 4 > \mathmr{and}$

$M \left(3 , 1 , 0\right)$ means $\vec{O M} = < 3 , 1. 0 >$.

Points are located by coordinates.

Line segments are represented by vectors.

So, TM is represented by

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

$= < 3 , 1 , 0 > \prec 2 , 5 , 4 >$

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

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