Question 3.2 (8 marks) Learning objectives: 0 Show how the scalar (dot) product of two vectors can be determined using components, and outline its basic properties; 0 Determine the vector projection and rejection of a vector onto another vector; 0 Use vectors in the calculation of geometrical quantities in structures, and to help solve problems that involve the calculation of tensions or forces in a particular direction. Let (1 be the last non-zero digit of your student ID number. For the position vectors {1' = 4613 + 2d} 4d]; and 1; = i 23' +1}: a) Calculate the vector projection of ('1' in the direction of 5. b) Calculate the vector rejection of (i in the direction perpendicular to 5. c) A 200 kg engine is suspended from two chains that form 60 degree angles with a horizontal ceiling. How much weight does each chain support