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` isA. 2B. `cos 60^(@)`C. `sin 60^(@)`D. 3.5

The components of a vector along the x- and y- directions are `(n+1)`

1.	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` isA. 2B. `cos 60^(@)`C. `sin 60^(@)`D. 3.5
Answer» Correct Answer - D The length of the vector is not changed by the rotation of the coordinate axes. `sqrt((n+1)^(2)+1^(2))=sqrt(n^(2)+3^(2)` or `n^(2)+2n+2=n^(2)+9` or `2n=7` or `n=3.5`

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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` isA. 2B. `cos 60^(@)`C. `sin 60^(@)`D. 3.5

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