Solved: (a) Prove that if u is orthogonal to both v and w, then u
Find u.v, u.u, and v.v. (a) u = (1, 1, -2, 3), v = (-1, 0, 5
Solved Suppose that S = { u1-u2, u3 ,14, u5,1%) C R5 where
Solved Find the Jacobian of the transformation. X = 2u + v
Solved Let x = f(u,v,w),y = g(u,v,w),z = h(u,v,w) be a 1-1
Solved Let f(x, y) = (x - y)^2007, where x(u,v) = uv and
Solved Let E be the solid enclosed by the ellipsoid x2 y? z2
Prove the following identities. (a) (u + kv) x v = u x v (b)
Find the Jacobian ∂(x, y)/∂(u,v) for the indicated change of
Solved 1. Find the Jacobian of the transformation x = u2 +
1. (a) Given f(x, y) and let g(u, v) = f(c(u, v)
Solved Let u = , v = , and w = . Show that u middot (v
u 1,u2,u3) and v