$A$ vector $\vec{a}$ has components $2p$ and $1$ with respect to a rectangular Cartesian system. The system is rotated through a certain angle about the origin in the anti-clockwise sense. If $\vec{a}$ has components $p+1$ and $1$ with respect to the new system,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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