Problem $1\mathrm{.}2($Related Topic: Force Vectors$)$

Member BD exerts on member ABC a force $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ directed along line BD$.$ Knowing that $\backslash (\backslash$mathbf$\{$P$\}\backslash )$ must have a $960$ N vertical component, determine

$($a$)$ the magnitude of the force $\backslash (\backslash$mathbf$\{$P$\}\backslash ),$

$($b$)$ its horizontal component.