Question $1$

Two cables with forces $\frac{?}{\text{b}\text{a}\text{r}}(F)$ and $\frac{?}{\text{b}\text{a}\text{r}}(T)$ pulling on point $C$ keep the flag pole in the vertical position.

Calculate the direction angle of T with respect to the z axis.

$.$ Calculate the direction cosine of T with respect to the y axis.

If the magnitudes of the first two components off are $0\mathrm{.}61$ k N and $0\mathrm{.}25$ k N and if the magnitude of f is $1$ KN$,$ represent force f in cartesian vector f include the appropriate signs.

Calculate a unit vector in the Opposite direction of F$.$

Calculate the cordinates of point A$.$

If the magnitude ofT is $1\mathrm{.}6$ KN the cartesian vector representation Of T is given by T$=0\mathrm{.}8073$ i$+0\mathrm{.}6318$ j $-1\mathrm{.}228$ k kN $.$ Calculate the cartesian vector form of the projection P of T$.$ on the line of action of F$.$

Find the corresponding component of the projection P calculate in the previous question.