1. Given vectors a =-2/ + /+4k and b =4/ - / +3k , state the following. a. 2a-3b b. a . b : c. vector projection of a onto the z-axis d. the cross product of a x b e. vector projection of a onto to bf. two unit vectors collinear with b g. draw vector b in the 3D space provided2. Vectors mi and #7 make an angle of 150 with each other. The magnitudes of ni and /7 are 5 and 2 respectively. Find (2 m + n ) - (m -3n) [4A]3. Determine the area of a triangle with sides, V = (1,- 1,0), w = (-2,1,2) 13A] 4. A triangle has vertices P(1,1,1), Q(4,-3,4), and R(-2,4,5). Show and explain how would you use vector concepts to show that APQR is isosceles. 13A, 3CI5. Identify each as a vector quantity, scalar quantity or meaningless. Explain your answer. 14CI + a. axb-c+b-b+c .c b. (ad ) x (6.c )