Figure $1\mathrm{.}2$

For the force shown in Figure $2\mathrm{.}1$

a$)$ Determine the $x,y,$ and z scalar components of vector F $.($Marks $3)$

b$)$ Express F in Cartesian vector form. $($Marks $1)$

c$)$ Determine the direction angles $(,,$ and $)$ of force F with respect to the $x,y,$ and z axes and

verify that the direction angles satisfy the requirement $co{s}^2+co{s}^2+co{s}^2=1($Marks $3)$

d$)$ Express F as a product of its magnitude and directional unit vector. $($e$.$g$.\{10(0\mathrm{.}1i+0\mathrm{.}2j+0\mathrm{.}3k)\}N).$

$($Marks $1)$