Question

Let  be two non-collinear unit vectors. If 

Solution

Correct option is

 

We have,   

Now,   

         

  

   

  

  

Again,

         

  

  

  

SIMILAR QUESTIONS

Q1

If a vector  is expressed as the sum of two vectors  along and perpendicular to a given vector 

Q2

 are two given vectors. On these vectors as adjacent sides a parallelogram is constructed. The vector which is the altitude of the parallelogram and which is perpendicular to  is not equal to

Q3

Let  be a unit vector and  a non-zero vector not parallel to . The angles of the triangle, two of whose sides are represented by  

Q4

Three vectors  taken two at a time form three planes. The three unit vectors drawn perpendicular to three planes form a parallelopiped of volume  

Q5

 If  is a vector such that  and the angle between  is 30o, then  

Q6

If the vectors  are coplanar, then the value of pqr – (p + q + r) is 

Q7

If  are any three vectors such that 

Q8

Let  the value of λ for which the vector  is parallel to the plane containing  

Q9

Let  be three unit vectors such that  If the angle between , then the volume of the parallelepiped whose three conterminus edges are  

Q10

 

If  are three non-coplanar, non-zero vectors, then

             is equal to