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Find a set of vectors reciprocal to t...

Find a set of vectors reciprocal to the set ` hat i+ hat j+ hat k , hat i- hat j+ hat k , hat i+j+ hat kdot`

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The correct Answer is:
`a'=(1)/(2)(-hat(i)+hat(k)), b'=(1)/(2)(-hat(i)+hat(k)) and c'=(hat(i)+hat(j))/(2)`
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