If the aircraft velocity, V$,$ is $150$ft $/$sec and alpha $=10$ deg and beta $=15$ deg find the magnitudes of u$,$ v and w in the body axis frame. Also write V as a vector, as in V$=$ a$\_\{$x$\}*$i $+$ a$\_\{$y$\}*$j $+$a$\_\{$z$\}$ k ft$/$sec$.$related to axis system in flight dynamics