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A vector has components p and 1 with res...

A vector has components `p` and 1 with respect to a rectangular Cartesian system. The axes are rotated through an angle `alpha` about the origin in the anticlockwise sense.
Statement 1: If the vector has component `p+2` and 1 with respect to the new system, then `p=-1.`
Statement 2: Magnitude of the original vector and new vector remains the same.

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