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If a and b are two unit vectors then, the value of (a+b).(2a-b) cannot be: A. 0. B.1. C.2. D.3

If a and b are two unit vectors then, the value of (a+b).(2a-b) cannot be:
A. 0.     B.1.     C.2.     D.3

Grade:11

1 Answers

Vikas TU
14149 Points
6 years ago
Dear Student,
There can be many instances of what an and b can be. 
The essential hit and trial if a=i and b=j the appropriate response will be 1. On the off chance that both are a similar way the appropriate response will be 2.However, 
in the event that we consider the extent of |a+b| and |2a-b| 
AM>=GM 
=>(|a+b|+|2a-b|)/2>= √(|a+b||2a-b|) 
=>(taking the most extreme esteems) 3/2 >= √(|a+b||2a-b|) 
=>(|a+b||2a-b|)
In this way, the esteem can never be 3.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)

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