Please answer each of them plz 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: (0) The vector # in 2-space of length 5 pointing up at an angle of 3x/4 measured from the positive z-axis. (b) The vector w in 3-space of length 3 lying in the you-plane pointing upward at an angle of /6 measured from the positive y-axis. Make Interactive 6. Which is traveling faster, a car whose velocity vector is 281 + 33], or a car whose velocity vector is 40i, assuming that the units are the same for both directions? the first car a 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 - 3+2kb- -7-343ka-27+53 (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. Make Interactive