A $300-lb$ load hangs from three cables of equal length that are anchored at the points $(-2,0,0),(1,\sqrt[\phantom{2}]{3},0),$ and $(1,-\sqrt[\phantom{2}]{3},0).$ The load is located at $(0,0,-2\sqrt[\phantom{2}]{15}).$ Find the vectors describing the

forces on the cables due to the load.

The vector anchored at $(-2,0,0)$ is $($:$25,0,-50\sqrt[\phantom{2}]{15}$:$)$ and has a magnitude of

$($Type exact answers, using radicals as needed.$)$