$A$ vector $\vec{a}$ has components $2p$ and $1$ with respect to a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counter-clockwise sense. If,with respect to the new system,$\vec{a}$ has components $p+1$ and $1$,then:
- A$p=0$
- B$p=-1$ or $p=\frac{1}{3}$
- C$p=1$ or $p=-\frac{1}{3}$
- D$p=1$ or $p=-1$
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