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Q.

A vector of length l is turned through an angle $θ$ about its tail at origin. What is the change in the position vector of its head?

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a

$l \sin θ \cdot$

b

$l \cos θ$

c

$2 l \sin θ / 2$

d

$2 I \cos θ / 2$

answer is B.

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Detailed Solution

$| Δ r | = |r_{j} - r_{i}|$

$= \sqrt{l^{2} + l^{2} - 2 (l) (l) \cos θ}$

$= 2 l \sin \frac{θ}{2}$

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