Question

Given T(2,5,4) and M(3,1,0) find The ordered triple that represents TM. Then find the magnitude of TM?

Answer 1

C

Explanation:

Edge 2020 :)

Answer 2

c.
`\:<\:1,-4,-4\:>\:,\sqrt{33`

Explanation:

Given T(2,5,4) and M(3,1,0);

`^(\to)_(TM)=^(\to)_(OM)-^(\to)_(OT)`

`^(\to)_(TM)=\:<\:3,1,0\:>\:-\:<\:2,5,4\:>\:`

`^(\to)_(TM)=\:<\:3-2,1-5,0-4\:>\:`

`^(\to)_(TM)=\:<\:1,-4,-4\:>\:`

The magnitude of this vector is :

`|^(\to)_(TM)|=\sqrt{1^2+(-4)^2+(-4)^2`

`|^(\to)_(TM)|=\sqrt{1+16+16`

`|^(\to)_(TM)|=\sqrt{33`