Question

If  are unit vectors inclined to x-axis at angles 30o and 120o, then  equals

Solution

Correct option is

 

Clearly,  are at right angle.   

  

PROPERTY IX If  are three vectors, then 

  

PROOF We have 

  

   

  

SIMILAR QUESTIONS

Q1

 unit vectors such that , then the value of  

Q2

If  are unit vectors, then the greatest value of

Q3

If the unit vectors  are inclined at an angle 2θ such that  then θ lies in the interval 

Q4

Let  be two unit vectors and α be the angle between them, then  is a unit vector, if α =

Q5

If  then the angle between  

Q6

Let  are two vectors inclined at an angle of 60o. If  then the angle between   

Q7

If  are unit vectors such that  is also a unit vector, then the angle between , is

Q8

If  are unit vectors such that 

Q9

If  are unit vectors such that  and  then 

Q10

If  are three vectors such that