  We show that there exists a natural Tulczyjew triple in the dynamics of
objects for which the standard kinematic configuration space $TM$, i.e. the
tangent bundle, is replaced with its $n$-th exterior power, i.e. the bundle of
tangent $n$-vectors. In this framework, which is fully covariant, we
geometrically derive phase equations, as well as Euler-Lagrange equations,
including nonholonomic constraints into the picture. Dynamics of strings and a
constrained Plateau problem in statics are particular cases of this framework.
