A vector \( \vec{a} \) has components \( 2 p \) and 1 with respect to a rectangular cartesian sy...
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A vector \( \vec{a} \) has components \( 2 p \) and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counterclockwise sense. If, with respect to new system, \( \vec{a} \) has components \( p+1 \) and 1 , then
(A) \( p=0 \)
(B) \( p=1 \) or \( p=-1 / 3 \)
(C) \( p=-1 \) or \( p=1 / 3 \)
(D) \( p=1 \) or \( p=-1 \)
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