JEE Advanced Mathematics question
A vector has components and with respect to a rectangular cartesian system. The axes are rotated through an angle about the origin in the anticlockwise sense. If the vector has components and with respect to the new system then
Answer: (A)
Solution
Rotation of axes does not change the length of a vector. So
+ = (p+ + ⇒ = + 2p + 1 ⇒ - 2p - 1 = 0 ⇒ (3p+1)(p-1) = 0,
giving or .
(Remark: gives component
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