Please solve these question in details.

1. A 2.5 kg sign is suspended from the ceiling using two cables that make an angle of 23 and 300 with the ceiling. Calculate the tension in each rope. a) Determine ifA (-1,1,1), B (2,2,2) and C(4,-2,1) represent vertices of a right triangle. b) Do a = ( -13,36,23), b (-2,3,1), c (3,1,4) lien in the same plane? Show me. 3. Determine the value of a + b if |3a| = 24 cm, |2b| = 10 cm and |3a-2b| = 20. 4. Aflight leaves Pearson International Airport at 3:00 pm and travels 580 km/h [S50W]. There is a constant wind blowing from 50 km/h [N28E]. What is the ground velocity of the airplane