Consider any two vectors in space, u and v with theta the angle between them.
a. use the law of cosines to find the value of ‖u − v‖.
b. use the law of sines to find the value of the angle between u − v and u. state any restrictions on the
variables.

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.