Given t(3,-5,6) and m(-1,1,2) find the ordered triple that represents tm. then find the magnitude of tm.

see explanation

Step-by-step explanation:

TM = m - t ( m and t are position vectors )

     = < - 1, 1, 2 > - < 3, - 5, 6 > ( subtract corresponding components )

     = < - 1 - 3, 1 + 5, 2 - 6 >

     = < - 4, 6, - 4 >

Given v = < x, y, z > then the magnitude of v is

| v | = , thus

| TM | =

        = = = = 2

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42