The vector ^i+x^j+3^k is rotated about its initial point through an angle of cos−1(1114) and its magnitude is doubled. If the vector in the new position is given by 4^i+(4x−2)^j+2^k. Then which of the following can't be the value of x?

The vector ^i+x^j+3^k is rotated about its initial point through an an

1.	The vector ^i+x^j+3^k is rotated about its initial point through an angle of cos−1(1114) and its magnitude is doubled. If the vector in the new position is given by 4^i+(4x−2)^j+2^k. Then which of the following can't be the value of x?
Answer» The vector $^i + x^j + 3^k$ is rotated about its initial point through an angle of ${cos}^{- 1} (\frac{11}{14})$ and its magnitude is doubled. If the vector in the new position is given by $4^i + (4 x - 2)^j + 2^k .$ Then which of the following can't be the value of $x$ ?