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Q.

A vector of length m is turned through an angle $β$ about its tail. The change in the position vector of its head is

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a

$2 m \cot \frac{β}{2}$

b

$2 m \tan \frac{β}{2}$

c

$2 m \sin \frac{β}{2}$

d

$2 m \cos \frac{β}{2}$

answer is A.

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Detailed Solution

When tip is turned by $' β'$

$Δ r = 2 r \sin (\frac{β}{2})$

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