If a is any vector in space, then [MP PET 1997]

1.	If a is any vector in space, then [MP PET 1997]
A.	\[\mathbf{a}=(\mathbf{a}\,.\,\mathbf{i})\,\mathbf{i}+\,(\mathbf{a}\,.\,\mathbf{j})\,\mathbf{j}+\,(\mathbf{a}\,.\,\mathbf{k})\,\mathbf{k}\]
B.	\[\mathbf{a}=(\mathbf{a}\,\times \,\mathbf{i})+\,(\mathbf{a}\,\times \,\mathbf{j})\,+\,(\mathbf{a}\,\times \,\mathbf{k})\,\]
C.	\[\mathbf{a}=\mathbf{j}\,(\mathbf{a}\,.\,\mathbf{i})\,+\mathbf{k}\,(\mathbf{a}\,.\,\mathbf{j})\,+\,\mathbf{i}\,(\mathbf{a}\,.\,\mathbf{k})\,\]
D.	\[\mathbf{a}=(\mathbf{a}\,\times \,\mathbf{i})\times \mathbf{i}+\,(\mathbf{a}\,\times \,\mathbf{j})\times \mathbf{j}\,+\,(\mathbf{a}\,\times \,\mathbf{k})\times \mathbf{k}\,\]
Answer» B. \[\mathbf{a}=(\mathbf{a}\,\times \,\mathbf{i})+\,(\mathbf{a}\,\times \,\mathbf{j})\,+\,(\mathbf{a}\,\times \,\mathbf{k})\,\]

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If a is any vector in space, then [MP PET 1997]

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