Graphing a vector with component angles?

[Psych Berry]

At the end of a problem (I'm sure I did all the math correctly, that's not an issue) I'm supposed to graph the corresponding resultant vector. However, along with the magnitude of the vector, the angles given are in component form: θ_x, θ_y, θ_z. I've never encountered this before, and although it seems like it's probably easy, I have no idea how to graph such a vector. Can anyone explain how, or is there anything anyone knows of that I can use a reference?

 

[rock.freak667]

Say your vector is R, with components as such <R_x,R_y,R_z>. To get the angle R makes with the x-axis, you'd dot product R with <1,0,0> (unit vector in direction of the x-axis).

This gives
<R_x,R_y,R_z>.<1,0,0>=|R|(1)cosθ_x

Or simply R_x=|R|cosθ_x

Do a similar exercise with the unit vectors in the direction of the y and z axes to get the components R_y and R_z