MHT CET 2023 Mathematics question
A vector has components 1 and 2p with respect to a rectangular Cartesian system. This system is rotated through a certain angle about origin in the counter clock wise sense. If, with respect to the new system, has components 1 and (p+1), then
Answer: (C)
Solution
Rotating the axes does not change the length of a vector, so is the same in both systems: . Taking : . Taking :
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