A vector 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 a has components p+1 and 1 with respect to the new system, then [IIT 1984]

A vector a has components 2p and 1 with respect to a rectangular carte

1.	A vector 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 a has components p+1 and 1 with respect to the new system, then [IIT 1984]
A.	\[p=0\]
B.	\[p=1\] or \[-\frac{1}{3}\]
C.	\[p=-1\] or \[\frac{1}{3}\]
D.	\[p=1\] or \[-1\]
Answer» C. \[p=-1\] or \[\frac{1}{3}\]

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A vector 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 a has components p+1 and 1 with respect to the new system, then [IIT 1984]

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