Statement I: If \( \mathrm{u} \) and \( \mathrm{v} \) are unit vect...

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Statement I: If \( \mathrm{u} \) and \( \mathrm{v} \) are unit vectors inclined at
\( \mathrm{P} \) an angle \( \alpha \) and \( \mathrm{x} \) is a unit vector bisecting the angle

W between them, then \( x=\frac{u+v}{2 \sin \frac{\alpha}{2}} \)
Statement II If \( \mathrm{ABC} \) is an isosceles triangles with \( A B \) and \( A C \) as unit vectors, then vectors representing bisector of angle \( A \) is given by \( \frac{\mathrm{AB}+\mathrm{AC}}{2} \)
(1) Statement I is true, statement II is true; statement II is a correct explanation for statement I.
(2) Statement I is true, statement II is true; statement II is not a correct explanation for statement I.
(3) Statement I is true, statement II is false.
(4) Statement I is false, statement II is true.
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