The magnitude of the vector `X^(2)hat(i) + (X - 1) hat(j)` is same as that of the magnitude of vectore `-hat(j) + (X^(2) - 1) hat(k)`. The value of x is

Options

A. 1
B. `-1`
C. 0
D. 2

Answer

B

Explanation

`sqrt((x^(2))^(2) + (x - 1)^(2)) = sqrt((1)^(2) + (x^(2) + 1)^(2))`
`x^(4) + x^(2) + 1 - 2x = 1 + x^(4) + 1 + 2x^(2)`
`x^(2) + 2x + 1 = 0`
`(x + 1)^(2) = 0`
`x = -1`