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1986

JEE Main 1986 Mathematics question on Vector Algebra

A vector a⃗\vec{a} has components 2p2p and 11 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system, a⃗\vec{a} has components p+1p+1 and 11, then
  1. A.
    p=0p = 0
  2. B.
    p=1p = 1 or p=−13p = -\dfrac{1}{3}
  3. C.
    p=−1p = -1 or p=13p = \dfrac{1}{3}
  4. D.
    p=1p = 1 or p=−1p = -1
Show answer

Correct option: B

[1986]

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