Modify this Octave script so that given any three linearly independent input vectors, a$,$b$,$c$,$ it will output three unit vectors u$1,$u$2,$ u$3$ using the Gram$-$Schmidt procedure $\%\%$ orthog $-$ Program to test if a pair of vectors

$\%$ is orthogonal. Assumes vectors are in $3$D space

clear all; help orthog; $\%$ Clear the memory and print header

$\%\%*$ Initialize the vectors a and b

a $=$ input$(\text{'}$Enter the first vector: $\text{'})$;

b $=$ input$(\text{'}$Enter the second vector: $\text{'})$;

$\%\%*$ Evaluate the dot product as sum over products of elements

a$\_$dot$\_$b $=0$;

for i$=1$:$3$

a$\_$dot$\_$b $=$ a$\_$dot$\_$b $+$ a$($i$)*$b$($i$)$;

end

$\%\%*$ Print dot product and state whether vectors are orthogonal

if$($ a$\_$dot$\_$b $==0)$

disp$(\text{'}$Vectors are orthogonal'$)$;

else

disp$(\text{'}$Vectors are NOT orthogonal'$)$;

fprintf$(\text{'}$Dot product $=\%$g

$\text{'},$a$\_$dot$\_$b$)$;

end