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Statement 1: If vec ua n d vec v are un...

Statement 1: If ` vec u`a n d `vec v` are unit vectors inclined at an angle `alphaa n d vec x` is a unit vector bisecting the angle between them, then ` vec x=( vec u+ vec v)//(2sin(alpha//2)dot` Statement 2: If `"Delta"A B C` is an isosceles triangle with `A B=A C=1,` then the vector representing the bisector of angel `A` is given by ` vec A D=( vec A B+ vec A C)//2.`

A

Statement-II and statement II ar correct and Statement III is the correct explanation of statement I

B

Both statement I and statement II are correct but statement II is not the correct explanation of statement I

C

Statement I is correct but statement II is incorrect

D

Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
D
We know that the unit vector along bisector of unit vectors u and v is `(u+v)/(2"cos"(theta)/(2))`, where `theta` is the angle between vector u and v.
Also, in an isosceles `DeltaABC` in which
AB=AC, the median and bisector from A must be same line.
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