Please answer the questions with explanation

Consider the following vectors: 4 0 = 1) b = (0 c 3 2 a) Determine the following: (75) i=6.) i) 4n: + 5c (3 marks) ii) The unit vector in the direction of c (2 marks) iii) A vector which is in the opposite direction to a and has a length of 3 units (3 marks) iv) A vector e such that d and e are perpendicular (2 marks) v) Two points P and Qwhich would have vector a connect them (2 marks) vi) The angle between vectors b and d (3 marks) b) Create two vectors of your choice and label them m and n. Use these vectors to prove that the scalar product of m and n is equal to the scalar product of n and m.