6 se a "TREE DIAGRAM" to find the probability.
Your sock drawer has six white socks,
four brown socks, and two black socks.
You randomly pick a sock and put it on
your left foot and then pick another sock
and put it on your right foot. What is the
probability you leave the house with a white
sock on your left foot and a brown sock on
your right foot.
Using a tree diagram

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x, y,z) = (1,-x, z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)