V
. A vector of length 'm' is turned through an
angle B about its tail. The change in the
position vector of its head is
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step by step :
Using parallelogram law:
∣
R
∣=
(l
2
+l
2
−2l
2
cosθ)
∣
R
∣=l
2(1−cosθ)
∣
R
∣=l
2(2sin
2
(
2
θ
))
∴∣
R
∣=2lsin(
2
θ
)
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