How Does Colatitude Affect the Direction of Coriolis Force?

[drop_out_kid]

Homework Statement

I am stuck at getting the right direction of the coriolis force.. I can get the force amplitude by formula tho...

Relevant Equations

Coriolis force, centrifugal force

So I don't understand "due north from a position at colatitude $\theta$ " , whether how I translate it...

I keep getting that direction should be radial...(toward Earth CM)

This is my work:

Thank you so much!

 

[haruspex]

Homework Statement:: I am stuck at getting the right direction of the coriolis force.. I can get the force amplitude by formula tho...
Relevant Equations:: Coriolis force, centrifugal force

View attachment 300106

So I don't understand "due north from a position at colatitude $\theta$ " , whether how I translate it...

I keep getting that direction should be radial...(toward Earth CM)

This is my work:

View attachment 300107

Thank you so much!

What is the direction of the vector $\vec \Omega$? What directions are orthogonal to both that and due north?