A vector `vec a` is parallel to the line of intersection of planes `P_1` containing vectors `hat i, hat i+hat j` and `P_

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Q 1307123088.     A vector `vec a` is parallel to the line of intersection of planes `P_1` containing vectors `hat i, hat i+hat j` and `P_2` conataining vectors `hat i-hat j, hat i+ hat k`. Then the angle between `vec a` and `hat i-2 hat j+2 hat k` is?
A

`frac{pi}{3}`

B

`frac{pi}{6}`

C

`frac{pi}{4}`

D

`frac{pi}{2}`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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