Please answer each of them please thanks

Section 9.3 9.3.7 Exercises 2. Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a - (2,2, 5) andb - ( 6, 6, 24/5) are a (2,2, 5) and b ( 6, 6, 15) are a = (2,2, -5) and b = (6,6, -14) are Make: Interactive: 3. Perform the following operations on the vectors a = (3. -2, 5). # = (3, 0,3). and we (-1, -2, -3). 1- 1= (7 - D)U = Make Interactive 6. Find a . b if jal = 1, [b) = 3, and the angle between a and b is - $ radians. a.b= Mike Interactive 8. A woman exerts a horizontal force of 4 pounds on a box as she pushes it up a ramp that is 6 feet long and inclined at an angle of 30 degrees above the horizontal. Find the work done on the box. Work: ft-lb Make Interactive 11. Let v = (-2,5) in R", and lety = (0, 3, -2) in R". a. Is (2, -1) perpendicular to v? Why or why not? b. Find a unit vector u in R such that u is perpendicular to v. How mary such vectors are there? Justify your answers. c. Is (2, -1, -2; perpendicular to y? Why or why not? d. Find a unit vector w in Is such that w is perpendicular to y. How many such vectors are there justify your answers. e. Let * = (2, 1, 0). Find a unit vector r in ?" such that r is perpendicular to both y and a. How many such vectors are there? Explain your process. 14. One of the properties of the dot product is that (utv) . w = (u . w)+ (v-w). That is, the dot product distributes over vector addition on the right. Here we investigate whether the dot product distributes over vector addition on the left. a. Let u = (1, 2, -1). v = (4, -3, 6), and w = (4, 7, 2). Calculate u . (v + w) and (u . v) + (u . w). What do you notice? h. Use the properties of the dal product to show that in general x . (y + 2) - (x . y) + (x - z) for any vectors x, y. and s In ?."