Three cables are attached to the same ground anchor and run out in the same plane at different angles. As you sketch this, make your x axis the horizontal axis and the y axis the vertical axis.

All three forces point in the $(+)$ x direction but are at different angles. These are:

$\{$:$[$T$\_=1","000$i$\_+400$jN$],[$u$\_=800$i$\_+900$jN$],[$V$\_=450$i$\_+1","300$jN$]$:$\}$

i$)$ Add these force vectors to find the resultant $($total$)$ force R$\_.$ Give this in terms of components and unit vectors. Also give this in terms of magnitude and direction angle measures from the $(+)$ horizontal direction.

ii$)$ The tension in each cable is the magnitude of the force in each cable. Are these three cables under the same tensile load, or is the tension different in each cable? Briefly, give a solid reason for your answer; you will need to find the values to answer this question.

iii$)$ The anchor can withstand a vertical pull of force of $2,000$lb$\_($f$).$ Note that you know this in pounds $($force$)$ and your forces are given in Newtons. Will the anchor pull out under these loads? Briefly, give a solid reason for your answer.

$($Better instructions in the image$)$