Answer
See explanation
Work Step by Step
To graph the curve
$r(t)$
in Geogebra use:
Curve(cos(2t), cos(3t), cos(4t), t, 0,pi )
Note that because the smallest argument for cosine here is $(2t)$
$2t = 2\pi$
$t=\pi$
The domain $0≤t≤π$ gives a full rotation.
Less will cut off the curve and more will overlap.