$2\mathrm{.}2\mathrm{.}2$ With q$1$ a unit vector in the direction of increasing q$1,$ show that

$($a$)$ q$1=1$ h$1$h$2$h$3($h$2$h$3)$q$1($b$)$ q$1=1$ h$1$ q$21$ h$3$h$1$q$3$ q$31$ h$2$h$1$q$2.$ Notethateventhough $$ q$1$ isaunitvector, itsdivergenceandcurldonotnecessarily vanish.