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Let a G = k ˆ 2 j ˆ 2 i ˆ 3 + + and b G k ˆ 2 j ˆ 2 i ˆ − + = be two vectors. If a vector perpendicular to both the vectors b a G G + and b a G G − has the magnitude 12 then one such vector is :

1. ) k ˆ j ˆ 2 i ˆ 2 ( 4 − −
2. ) k ˆ j ˆ 2 i ˆ 2 ( 4 + − −
3. ) k ˆ j ˆ 2 i ˆ 2 ( 4 + +
4. ) k ˆ j ˆ 2 i ˆ 2 ( 4 − +

Correct answer: ) k ˆ j ˆ 2 i ˆ 2 ( 4 − −

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