1.

If a, b, c be any three non-coplanar vectors, then \[[\mathbf{a}+\mathbf{b}\,\,\,\mathbf{b}+\mathbf{c}\,\,\,\mathbf{c}+\mathbf{a}]=\]     [RPET 1988; MP PET 1990, 02; Kerala (Engg.) 2002]

A.             \[|\mathbf{a}\,\mathbf{b}\,\mathbf{c}|\]
B.             2\[[\mathbf{a}\,\mathbf{b}\,\mathbf{c}]\]
C.             \[{{[\,\mathbf{a}\,\mathbf{b}\,\mathbf{c}\,]}^{2}}\]
D.             \[2\,{{[\,\mathbf{a}\,\mathbf{b}\,\mathbf{c}\,]}^{2}}\]
Answer» C.             \[{{[\,\mathbf{a}\,\mathbf{b}\,\mathbf{c}\,]}^{2}}\]


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