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A non-zero vector a is parallel to the l...

A non-zero vector 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 vectors `hat(i)-hat(j),hat(j)+hat(k).` The angle between a and
`(hat(i)-2hat(j)+2hat(k))` is

A

A `(pi)/(6)`

B

B `(pi)/(4)`

C

C `(pi)/(3)`

D

D `(2pi)/(5)`

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The correct Answer is:
D
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