Let a be a non-zero vector parallel to the line of intersection of the two planes described by i ˆ + j ˆ , i ˆ + k ˆ and i ˆ − j ˆ , j ˆ – k ˆ . If  is the angle between the vector a  and the vector b  = 2 i ˆ −2 j ˆ + k ˆ and a  · b  = 6, then the ordered pair (  , | a   b  ) is

Question

Let a be a non-zero vector parallel to the line of intersection of the two planes described by i ˆ + j ˆ , i ˆ + k ˆ and i ˆ − j ˆ , j ˆ – k ˆ . If  is the angle between the vector a  and the vector b  = 2 i ˆ −2 j ˆ + k ˆ and a  · b  = 6, then the ordered pair (  , | a   b  ) is equal to :

Accepted Answer

       6 , 4

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