Question

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

Solution

Correct option is

3/2

 

We have,  

           

  

   

Now, 

        

SIMILAR QUESTIONS

Q1

The volume of the tetrahedron whose vertices are the points with position vectors  and  is 11 cubic units if the value of λ is 

Q2

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

Q3

 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

Q4

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  

Q5

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

Q6

Let  be two non-collinear unit vectors. If 

Q7

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

Q8

If  are any three vectors such that 

Q9

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

Q10

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