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you are going to a restaurant. you leave your apartement and take the elevator 30 m down, then 15 m south to the exit. then u travel 200 m east and then 100 m to the restaurant. what is your displacement.

so what i did is:

-30k

-15j

+200i

+100j

then after adding them up:

[tex]\Delta d=\sqrt{200i^2+85j^2+(-30k^2)}[/tex]

displacement = ~ 219.37 m

is this right? and how do i represent the final direction?

thanks