|a|^2=(-3)^2+(-1)^2=10
|c|^2=1^2+(-3)^2=10
(a,b)=(-3)*(-1)+0*3+(-1)*2=3-2=1
(b,c)=(-1)*3+3*(-3)+2*0=-12
|a|^2+|c|^2-(a,b)*(b,c)=10+10-1*(-12)=32
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|a|^2=(-3)^2+(-1)^2=10
|c|^2=1^2+(-3)^2=10
(a,b)=(-3)*(-1)+0*3+(-1)*2=3-2=1
(b,c)=(-1)*3+3*(-3)+2*0=-12
|a|^2+|c|^2-(a,b)*(b,c)=10+10-1*(-12)=32