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Let veca be a non-zero vector parallel t...

Let `veca` be a non-zero vector parallel to the line of intersection of the two planes described by `hati+hatj , hati+hatk and hatj-hatk` and `hati-hatj , hatj-hatk`. If `theta` is the angle between the vector `veca` and the vector `vecb=2hati-2hatj+hatk and veca.vecb=6`, then the ordered pair `(theta, abs(veca xx vecb))` is equal to

A

`(pi/4,6)`

B

`(pi/3,3sqrt6)`

C

`(pi/3,6)`

D

`(pi/4,3sqrt6)`

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