Let a¯=i¯+j¯+k¯,b=i¯−2j¯+k¯,c¯=i¯+3j¯−2k¯,d¯=2i¯+j¯−k¯ be four vectors and let l=b¯. c¯ and m=c¯. a¯ .Then mb¯+l a¯ b¯ d¯=

l=b¯⋅c¯=7 m¯=c¯⋅a¯=2 ∴ mb¯+la¯=−5i−11J−5k ∴ mb¯+la¯ b¯ d¯=−5−11−51−2121−1=−63

Let a¯=i¯+j¯+k¯,b=i¯−2j¯+k¯,c¯=i¯+3j¯−2k¯,d¯=2i¯+j¯−k¯ be four vectors and let l=b¯. c¯ and m=c¯. a¯ .Then mb¯+l a¯ b¯ d¯=

l=b¯⋅c¯=7 m¯=c¯⋅a¯=2 ∴ mb¯+la¯=−5i−11J−5k ∴ mb¯+la¯ b¯ d¯=−5−11−51−2121−1=−63

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Let $\bar{a} = \bar{i} + \bar{j} + \bar{k}, b = \bar{i} - 2 \bar{j} + \bar{k}, \bar{c} = \bar{i} + 3 \bar{j} - 2 \bar{k}, \bar{d} = 2 \bar{i} + \bar{j} - \bar{k}$ be four vectors and let $l = \bar{b} . \bar{c}$ and $m = \bar{c} . \bar{a}$ .Then $[m \bar{b} + l \bar{a} \bar{b} \bar{d}] =$

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-63

answer is B.

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$l = \bar{b} \cdot \bar{c} = 7 \bar{m} = \bar{c} \cdot \bar{a} = 2 ∴ m \bar{b} + l \bar{a} = - 5 i - 11 J - 5 k ∴ [m \bar{b} + l \bar{a} \bar{b} \bar{d}] = |\begin{matrix} - 5 & - 11 & - 5 \\ 1 & - 2 & 1 \\ 2 & 1 & - 1 \end{matrix}| = - 63$

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Let a¯=i¯+j¯+k¯,b=i¯−2j¯+k¯,c¯=i¯+3j¯−2k¯,d¯=2i¯+j¯−k¯ be four vectors and let l=b¯. c¯ and m=c¯. a¯ .Then mb¯+l a¯ b¯ d¯=

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Let $\bar{a} = \bar{i} + \bar{j} + \bar{k}, b = \bar{i} - 2 \bar{j} + \bar{k}, \bar{c} = \bar{i} + 3 \bar{j} - 2 \bar{k}, \bar{d} = 2 \bar{i} + \bar{j} - \bar{k}$ be four vectors and let $l = \bar{b} . \bar{c}$ and $m = \bar{c} . \bar{a}$ .Then $[m \bar{b} + l \bar{a} \bar{b} \bar{d}] =$