The components of a vector along the x- and y- directions are `(n+1)` and 1, respectively. If the coordinate system is rotated by an angle `theta=60^(@)`, then the components change to `n` and 3. The value of `n` is

Options

A. `3.5`
B. `4.5`
C. `1.5`
D. `3`

Answer

A

Explanation

Magnitude of vector is independent of rotation of co-ordinate syste,,
`sqrt((n + 1)^(2) + 1^(2)) = sqrt(n^(2) + 3^(2))`
`n = (7)/(2) = 3.5`