# How do you write the ordered triple that represents TM given T(-2,4,7) and M(-3,5,2)?

Nov 25, 2016

Please see the explanation.

#### Explanation:

TM is the vector from T to M; it is customary to write a bar over the vector, $\overline{T M}$, and enclose the ordered triple with < > symbols.

Subtract the x,y, or z coordinate of point T from the corresponding coordinate of point M:

$\overline{T M} = < \left(- 3 - - 2\right) , \left(5 - 4\right) , \left(2 - 7\right) >$

This is the vector from T to M:

$\overline{T M} = < - 1 , 1 , - 5 >$