  There is a correspondence between highest weight vectors in the tensor
product of finite-dimensional irreducible sl(N+1)-modules marked by distinct
complex numbers, on the one hand, and elements of the intersection of the
Schubert varieties taken with respect to the osculating flags of the normal
rational curve at the points corresponding to these complex numbers, on the
other hand. The highest weight vectors are the Bethe vectors of the sl(N+1)
Gaudin model and the elements are the (N+1)-dimensional non-degenerate planes
in the vector space of complex polynomials.
  In the present paper we exploit this correspondence in order to calculate
Bethe vectors is the tensor product of two irreducible finite-dimensional
sl(N+1)-representations. We find the Bethe vector in the case when one of the
two representations is a symmetric power of the standard one. The idea is to
look for the intersection of Schubert varieties related to a Bethe vector. We
present explicitly a basis of the corresponding (N+1)-dimensional plane in the
space of polynomials.
