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Q.

A vector a has components 2p and 1 w.r.t a rectangluar cartesian system. It is rotated through a certain angle about the origin in the counter clockwise direction. With respect to the new system, if a has components p +1, 1 then p =

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a

-1, 13

b

1, -13

c

1, 13

d

-1, -13

answer is A.

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Detailed Solution

4p2+1=(p+1)2+1    2p=p+1,  2p=-p-1                                                p=1           p=-13  

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A vector a has components 2p and 1 w.r.t a rectangluar cartesian system. It is rotated through a certain angle about the origin in the counter clockwise direction. With respect to the new system, if a has components p +1, 1 then p =