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For any vector a  = a 1 i ˆ + a 2 j ˆ + a 3 k ˆ , with 10|a i |  1,I = 1, 2, 3, consider the following statements: (A) : max  a 1 |, |a 2 |, |a 3 |   a  (B) : |a|  3 max  a 1  ,  a 2  ,  a 3 

1. Only (B) is true
2. Only (A) is true
3. Both (A) and (B) are true
4. Neither (A) nor (B) is true

Correct answer: Both (A) and (B) are true

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