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

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Answer 1 · 2017-01-30T14:20:45

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

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

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

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

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

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