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If $\vec{a} = \hat{i} + \hat{j}, \vec{b} = \hat{j} + \hat{k}, \vec{c} = \hat{k} + \hat{i}$ then in the reciprocal system of vectors $\vec{a}, \vec{b}, \vec{c}$ reciprocal of vector $\vec{a}$ is

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i^+j^+k^2

i^-j^+k^2

-i^-j^+k^2

i^+j^-k^2

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Correct option is D

a′→=b→×c→[a→b→c→]=i^+j^−k^2

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If a→=i^+j^,b→=j^+k^,c→=k^+i^ then in the reciprocal system of vectors a→,b→,c→ reciprocal of vector a→is

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If $\vec{a} = \hat{i} + \hat{j}, \vec{b} = \hat{j} + \hat{k}, \vec{c} = \hat{k} + \hat{i}$ then in the reciprocal system of vectors $\vec{a}, \vec{b}, \vec{c}$ reciprocal of vector $\vec{a}$ is