Three displacements are a=200 m due south, b=250 m due west, and c= 150 m at 30.0° east of north. (a) construct a separate diagram for each of the following possible ways of adding these vectors: r1 = a+b+c ; r2 = b+c+a ; r3 = c+b+a. (b) explain what you can conclude from comparing the diagrams.

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i. e., a subspace of r 3 ). explain your reasoning

The frequency of a tuning fork can be found by the method shown. a long tube open at both ends is submerged in a beaker of water, and the vibrating tuning fork is placed near the top of the tube. the length l of the air column is adjusted by moving the tube vertically. the sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube. the smallest value for l for which a peak occurs in sound intensity is 7 cm. l what is the frequency of the tuning fork? the speed of sound in air is 345 m/s. answer in units of hz

You have decided to host a discussion about post-traumatic stress disorder with the families of soldier abroad provide an over view of the disorder the symptoms and consequences of ptsd