Force equal to all three axis angles in magnitude and unit vector form

[IHave]

Homework Statement

okay i don't have the exact problem in front of me right now but it went something like this: they gave the force, F, which equaled 500 N. for part a they said to express in terms of a magnitude times a unit vector. for part b they wanted the force expressed in orthogonal terms.

another note: the force makes equal angles with respect the x,y,z axis'
(theta x = theta y = theta z)
the only value given is that of the force.

Homework Equations

F = to the magnitude times unit vector

The Attempt at a Solution

a) F being 500 N
F = magnitude of F times e
e being the unit vector

b) for part be would it simply be
F = magnitude of F times (ei + ej + ek)

i know the question was just paraphrased but is that what its asking for?

 

[ehild]

b) for part be would it simply be
F = magnitude of F times (ei + ej + ek)

No, that is wrong. ei+ej+ek is not a unit vector. Find the vector F in the form F_xei+F_yej+F_zek, so that F_x²+F_y²+F_z²=F²