  The wedge product of vectors has been shown (Quantum Inf. Process. 16(5):
118,2017) to yield the generalised entanglement measure I-concurrence, wherein
the separability of the multiparty qubit system arises from the parallelism of
vectors in the underlying Hilbert space of the subsystems. Here, we demonstrate
that the orthogonality and equality of the post-measurement vectors maximize
the entanglement corresponding to the bi-partitions and can yield non-identical
set of maximally entangled states. The Bell states for the two qubit case, GHZ
and GHZ like states with superposition of four constituents for three qubits,
naturally arise as the maximally entangled states. Interestingly, the later two
have identical I-concurrence but different entanglement distribution. While the
GHZ states can teleport a single qubit deterministically, the second set
achieves the same for a more general state. The geometric conditions for
maximally entangled two qudit systems are derived, leading to the generalised
Bell states, where the reduced density matrices are maximally mixed. We further
show that the reduced density matrix for an arbitrary finite dimensional
subsystem of a general qudit state can be constructed from the overlap of the
post-measurement vectors. Our geometric approach shows the complimentary
character of intrinsic coherence and entanglement.
