Implement the Gram$-$Schmidt process from scratch using Python and NumPy,

following the pseudocode provided to orthonormalize the given set of vectors.

Additionally, verify that the resulting vectors are orthonormal by checking their pairwise dot

products and confirming they are either $0($for orthogonality$)$ or $1($for unit length$).$

o $1=[$

$2$

$1$

$1$

$],2=[$

$1$

$1$

$0$

$],3=[$

$0$

$1$

$1]$