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Let \(\vec{a}=-\hat{i}-\hat{j}+\hat{k},\vec{a}.\vec{b}=1\) and \(\vec{a}\times \vec{b}=\hat{i}-\hat{j}\)Then \(\vec{a}-6…

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Let \(\vec{a}=-\hat{i}-\hat{j}+\hat{k},\vec{a}.\vec{b}=1\) and \(\vec{a}\times \vec{b}=\hat{i}-\hat{j}\)Then \(\vec{a}-6\vec{b}\) is equal to

a

\(3(\hat{i}+\hat{j}+\hat{k})\)

b

\(3(\hat{i}-\hat{j}+\hat{k})\)

c

\(3(\hat{i}+\hat{j}-\hat{k})\)

d

\(3(\hat{i}-\hat{j}-\hat{k})\)

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