What is the resultant magnitude and direction of three perpendicular forces?

[ghostanime2001]

HELP ! this problem is very very confusing T_T

Three forces, each of which is perpendicular to the
other two, act on an object. If the magnitudes of
these forces are 6 N, 15 N, and 10 N, respectively,
find the magnitude and direction of the resultant.
(State the angles that the resultant makes with the
two larger forces.)

 

[redargon]

show an attempt at a solution and draw a diagram. it'll help.

 

[chaoseverlasting]

Think Cartesian coordinate system

 

[thesage]

if they are all perpendicular to each other then they can all lie on different axis of a 3D cartesian style graph. what is the average way are they all pointing?

 

[ghostanime2001]

This is what the diagram looks like from my book i have it online.

 

[redargon]

it's been a while since I did vector diagrams, but can't you just find the resultant force and angle from the two large forces and then find the new resultant of the small force and the old resultant? You obviously have to use trig to work out the angles and magnitudes.

 

[ghostanime2001]

No i can't that's why I am posting this problem up.