What is meant by hybridisation of atomic orbitals? Describe the shapes of $sp$,$sp^{2}$,$sp^{3}$ hybrid orbitals.

(N/A) Hybridization is defined as the process of intermixing of atomic orbitals of slightly different energies,thereby forming a new set of orbitals having equivalent energies and shapes.
$1$. Shape of $sp$ hybrid orbitals: $sp$ hybrid orbitals are formed by the intermixing of one $s$ and one $p$ orbital. They have a linear shape with a bond angle of $180^{\circ}$.
$2$. Shape of $sp^{2}$ hybrid orbitals: $sp^{2}$ hybrid orbitals are formed by the intermixing of one $s$ and two $p$ orbitals. They are oriented in a trigonal planar arrangement with bond angles of $120^{\circ}$.
$3$. Shape of $sp^{3}$ hybrid orbitals: $sp^{3}$ hybrid orbitals are formed by the intermixing of one $s$ and three $p$ orbitals. They are arranged in a tetrahedral geometry with bond angles of $109.5^{\circ}$.