If are the magnitudes of rectangular components of velocity vector of magnitude v, then
Given,
and
∴
That is,
, is the magnitude of other rectangular component of velocity.
The vertical component ofvelocity of the airplane will give us the velocity with which the airplane moves away from the Earth.
As the aeroplane takes off at angle with horizontal,
∴
∴
Find Z component of resultant of vectors,
and .
Resultant of
is the Z component of vector.
Therefore Z component of resultant of is zero.