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The rectangular components of a vector lying in xy plane are (n+1) and 1. If coordinate system is turned by 60^o , they are n & 3 respectively, then the value of ‘n’ is

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3.5

2.5

answer is D.

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Detailed Solution

Rotation of vector does not change the magnitude of the vector
Hence $\sqrt{(n + 1)^{2} + 1^{2}} = \sqrt{n^{2} + 3^{2}}$
$\Rightarrow$ n² + 2n + 1 + 1 = n² + 9
$\Rightarrow$ 2n = 7 $\Rightarrow$ n = 3.5

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