InterviewSolution
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InterviewSolution
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Statement 1: If ` vec ua n d vec v`are unit vectors inclined at an angle `alphaa n d vec x`is a unit vector bisecting the angle betweenthem, 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 vectorrepresenting 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 IB. Both statement I and statement II are correct but statement II is not the correct explanation of statement IC. Statement I is correct but statement II is incorrectD. Statement II is correct but statement I is incorrect |
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Answer» Correct Answer - 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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