Guestion 2 (a) For the vectors a = (2,-1,3), b =(-4,-2, -1), and c = (2,-2,-2): i determine the angle between the vectors a and b, f) find the area of the triangle with vectors a and b as sides, it calculate the volume of the parallelepiped with edges a, b, and c, firs outline the relationship between the area of a parallelogram formula from vector algebra and the well known area formula from trigonometry: Area = ; at sin(C) where a and b are the sides of a triangle and C is the included angle. [7 marks