Consider the planes given by the equations 2x−3y−5z=2,
2x−2y+3z=4.
(a) Find a vector v⃗ parallel to the line of intersection of the planes.
v⃗ =
(b) Find the equation of a plane through the origin which is perpendicular to the line of intersection of these two planes.
This plane is

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)