Home
Class 12
MATHS
If vec aa n d vec b are any two unit ve...

If ` vec aa n d vec b` are any two unit vectors, then find the greatest positive integer in the range of `(3| vec a+ vec b|)/2+2| vec a- vec b|` .

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are any two unit vectors,then find the greatest positive integer in the range of (3|vec a+vec b|)/(2)+2|vec a-vec b|

If vec a, and vec b are unit vectors,then find the greatest value of |vec a+vec b|+|vec a-vec b|

If vec a and vec b are two unit vectors such that vec a+vec b is also a unit vector then find the angle between vec a and vec b

If vec a and vec b are two unit vectors such that vec a+vec b is also a unit vector,then find the angle between vec a and vec b.

If vec a and vec b are two non collinerar unit vectors and if | vec a+ vec b | = sqrt 3 , then find the value of (vec a-vec b). (2 vec a+ vec b) .

If vec a and vec b are two vectors such that (vec a+vec b)vec a-vec b=0 find the relation between the magnitudes of vec a and vec b

If vec aa n d vec b are two vectors and angle between them is theta, then | vec axx vec b|^2+( vec adot vec b)^2=| vec a|^2| vec b|^2 | vec axx vec b|=( vec adot vec b),iftheta=pi//4 vec axx vec b=( vec adot vec b) hat n ,(w h e r e hat n is unit vector,) if theta=pi//4 ( vec axx vec b)dot( vec a+ vec b)=0

If vec a and vec b are unit vectors find the angle between vec a+vec b and vec a-vec b

If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is also a unit vector, find the angle between vec a\ a n d\ vec bdot

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the minimum distance between the curves y^2=4xa n dx^2+y^2-12 x+3...

    Text Solution

    |

  2. Number of ways to express 1200 as a product of two co-prime factors ...

    Text Solution

    |

  3. If vec aa n d vec b are any two unit vectors, then find the greate...

    Text Solution

    |

  4. Which of the following sets are equal? A={x : x in N ,x<4,},B={1,1,2,...

    Text Solution

    |

  5. If z1=5+12 ia n d|z2|=4,t h e n maximum (|z1+i z2|)=17 minimum (|z1+...

    Text Solution

    |

  6. Are the following pairs of sets equal? A={1,4,8, 16 , 64},B={x : x is ...

    Text Solution

    |

  7. Consider a real valued continuous function f such that f(x)=sinx + int...

    Text Solution

    |

  8. A rod of length 2units whose one end is (1, 0, -1) and other end touch...

    Text Solution

    |

  9. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

    Text Solution

    |

  10. a1, a2, a3, in R-{0} and a1+a2cos2x+a3sin^2x=0fora l lx in R , the...

    Text Solution

    |

  11. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 ...

    Text Solution

    |

  12. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

    Text Solution

    |

  13. Let X={1,2,3, , 10},A={1,2,3,4,5},B={1,3,5,7,9}a n dC={2,4,8, 10} , v...

    Text Solution

    |

  14. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  15. A bag contains some white and some black balls, all combinations of ...

    Text Solution

    |

  16. Let A={1,2,4,5}\ B={2,3,5,6}C={4,5,6,7} . Verify the following identit...

    Text Solution

    |

  17. The probability for which ("lim")(xvec0)(ln((cosx)^a))/(x^b) exists fi...

    Text Solution

    |

  18. A line L passing through the point P(1,4,3), is perpendicular to b...

    Text Solution

    |

  19. If U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,5}, B = 2,4,6,7} and C = {2,...

    Text Solution

    |

  20. A four digit number is called a doublet if any of its digit is the sam...

    Text Solution

    |