Answer:
c. [tex]\:<\:1,-4,-4\:>\:,\sqrt{33[/tex]
Step-by-step explanation:
Given T(2,5,4) and M(3,1,0);
[tex]^{\to}_{TM}=^{\to}_{OM}-^{\to}_{OT}[/tex]
[tex]^{\to}_{TM}=\:<\:3,1,0\:>\:-\:<\:2,5,4\:>\:[/tex]
[tex]^{\to}_{TM}=\:<\:3-2,1-5,0-4\:>\:[/tex]
[tex]^{\to}_{TM}=\:<\:1,-4,-4\:>\:[/tex]
The magnitude of this vector is :
[tex]|^{\to}_{TM}|=\sqrt{1^2+(-4)^2+(-4)^2[/tex]
[tex]|^{\to}_{TM}|=\sqrt{1+16+16[/tex]
[tex]|^{\to}_{TM}|=\sqrt{33[/tex]
