Three cables are used to tether a balloon as shown below. Determine the force (magnitude and direction) exerted on the balloon knowing that the tension in cable AC is 444 N.
Where,
AB = -(4.20)i - (5.60)j
AC = (2.40)i -(5.60)j + (4.20)k
AD = -(5.60)i - (3.30)j