If \[\mathbf{u}=\mathbf{i}\times (\mathbf{a}\times \mathbf{i})+\mathbf{j}\times (\mathbf{a}\times \mathbf{j})+\mathbf{k}\times (\mathbf{a}\times \mathbf{k}),\]then [RPET 1989, 97; MNR 1986, 93; MP PET 1987, 98, 99, 2004; UPSEAT 2000, 02; Kerala (Engg.) 2002]

\[\mathbf{u}=\mathbf{i}+\mathbf{j}+\mathbf{k}\]

If \[\mathbf{u}=\mathbf{i}\times (\mathbf{a}\times \mathbf{i})+\math

1.	If \[\mathbf{u}=\mathbf{i}\times (\mathbf{a}\times \mathbf{i})+\mathbf{j}\times (\mathbf{a}\times \mathbf{j})+\mathbf{k}\times (\mathbf{a}\times \mathbf{k}),\]then [RPET 1989, 97; MNR 1986, 93; MP PET 1987, 98, 99, 2004; UPSEAT 2000, 02; Kerala (Engg.) 2002]
A.	\[\mathbf{u}=0\]
B.	\[\mathbf{u}=\mathbf{i}+\mathbf{j}+\mathbf{k}\]
C.	\[\mathbf{u}=2\mathbf{a}\]
D.	\[\mathbf{u}=\mathbf{a}\]
Answer» D. \[\mathbf{u}=\mathbf{a}\]

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If \[\mathbf{u}=\mathbf{i}\times (\mathbf{a}\times \mathbf{i})+\mathbf{j}\times (\mathbf{a}\times \mathbf{j})+\mathbf{k}\times (\mathbf{a}\times \mathbf{k}),\]then [RPET 1989, 97; MNR 1986, 93; MP PET 1987, 98, 99, 2004; UPSEAT 2000, 02; Kerala (Engg.) 2002]

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