are Three Non-zero Vectors Which Are Pair Wise Non-collinear. If  is Collinear With  is Collinear With  is:    

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Question

 are three non-zero vectors which are pair wise non-collinear. If  is collinear with  is collinear with  is:    

Solution

Correct option is

 

It is given that  is collinear with  is collinear with . Therefore,   

             

  

  

  

SIMILAR QUESTIONS

Q1

If the points with position vectors  are collinear, then p = 

Q2

If the position vector of a point A is  divides AB in the ratio 2 : 3, then the position vector of B is   

Q3

If  are three non-zero vectors, no two of which are collinear and the vector  is collinear with  is collinear with , then  

Q4

If points  are collinear, then a is equal to 

Q5

 The vector  bisecting the angle AOB and C being a point on the line AB is  

Q6

If the vector  bisects the angle between the vector  and the vector  then the unit vector in the direction of  is 

Q8

 and a point P on the line segment BC is equidistant from AB and AC, then  is  

Q9

The vector , directed along the internal bisector of the angle between the vectors  with , is  

Q10

 unit vectors such that , then the value of