Please answer each of them Thanks

2. Find a vector a that has the same direction as (-6, 9, 6) but has length 4. Answer: a = Make Interactive 4. Resolve the following vectors into components: (a) The vector # in 2-space of length 5 pointing up at an angle of 37 /4 measured from the positive z-axis. 1 = it (b) The vector w in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 7/6 measured from the positive y-axis. Make Interactive 6. Which is traveling faster, a car whose velocity vector is 281 + 33j, or a car whose velocity vector is 40i, assuming that the units are the same for both directions? the first car the second car is the faster car. At what speed is the faster car traveling? speed - Make Interactive 9. For each of the following, perform the indicated operations on the vectors a - j42kb- -1- 3+3= - 2: +5j (a) 5a + 56 - (b) 6a + 46 - 32 - Make Interactive 11. (a) Find a unit vector from the point P - (1, 3) and toward the point Q - (5, 6). (b) Find a vector of length 15 pointing in the same direction. U =