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A non-zero vectors a is parallel to the line of intersection of the plane determined by the vectors `hat(i), hat(i)+hat(j) and ` the plane determined by the vectors `hat(i)-hat(j) and hat(i)+hat(k)`. Find the angle between a and `hat(i)-2hat(j)+2hat(k)`.

A

`pi/3`

B

`pi/4`

C

`(2pi)/3`

D

`(3pi)/4`

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