U=2i^+2j^+31k^
V=i^−21j^
W=−√2(i^+j^−4k^)/6
U.V=((2×1)+(2×2−1)+(31×0)=2−2=0.58
U.W=(2×6−2)+(2×−62)+(31×6−4)=−1.37
V.W=(1×6−2)+(−21×6−2)+(0×642)=0.06
Scalar triple product of three vectors, U,V,W=(U×V).W
=((2×2−1)k^−(2×1)k^+(31×1)j^−(31×2−1)i^).W
=(321i^+31j^+(−2−2)k^).(6−√2(i^+j^−4k^)
=−91−182−682−68
= 0
Therefore U, V and W are not orthogonal
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