Question

The vector  lies in the plane of the vectors  bisects the angle between . Then , which one of the following gives the possible values of α and β?

Solution

Correct option is

 

It is given that  bisects the angle between 

Therefore,   

   

  

SIMILAR QUESTIONS

Q1

Three points with position vectors  will be collinear, if there exist scalars xyz such that   

Q2

The position vectors of the vertices ABC of a âˆ†ABC are  respectively. The length of the bisector AD of the angle BAC where D is on the line segment BC, is     

Q3

 

Consider points ABC and D with position vectors 

 respectively. Then, ABCD is a   

Q4

If the vectors  are the sides of a âˆ†ABC, then length of the median through A is 

Q5

The sides of a parallelogram are  then the unit vector parallel to one of the diagonals is 

Q6

If the points  are collinear, where  are three non-coplanar vectors, the value of t is 

Q7

A vector coplanar with vectors  and parallel to the vector  

Q8

Let the coordinates of a point P with respect to a system of non-coplanar vectors  be (3, 2, 1). Then, the coordinates of P with respect to the system of vectors  and 

Q9

 

If (xyz) ≠ (0, 0, 0) and  

 then the values of a are

Q10

If  are vectors forming consecutive sides of a regular hexagonABCDEF, then representing side CD is