Question

given T(-5,8,3) and M(-2,-1,-6) find the ordered triple that represents TM. Then find the magnitude of TM.

Answer 1

TM = (3,-9,-9)

The magnitude of TM = 3√19

Explanation:

Given T=(-5,8,3) and M = (-2,-1,-6)

TM is the difference between the vector M and the vector T

So,

TM = M - T = (-2,-1,-6) - (-5,8,3) = (-2+5 , -1-8 , -6-3) = (3,-9,-9)

The magnitude of TM = The distance of TM =
`√(3^2+(-9)^2+(-9)^2)=√(9+81+81)=√(171) = √(9*19) =3√(19)`

So, TM = (3,-9,-9) and |TM| = 3√19