Home
Class 12
MATHS
If veca and vecb are any two unit vector...

If `veca and vecb` are any two unit vectors, then find the greatest postive integer in the range of `(3|veca + vecb|)/2+2|veca-vecb|`

Text Solution

Verified by Experts

The correct Answer is:
5
Let angle between `veca and vecb br theta`
we have ` |veca| = |vecb|=1`
Now `|veca + vecb|= 2cos theta/2 and |veca - vecb|=2 sin theta/2`
consider `F(theta) = 3 cos theta/2 + 4 sin theta/2 theta in [ 0,pi]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Subjective type|19 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise fill in the blanks|14 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Martrix - match type|10 Videos

  • DETERMINANTS

    CENGAGE ENGLISH|Exercise All Questions|264 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise Matrix Match Type|5 Videos
Home
Profile