Home
Class 12
MATHS
If \ vec a\ a n d\ vec b are two unit ...

If `\ vec a\ a n d\ vec b` are two unit vectors inclined at an angle `theta` such that `|a+b|,1,` then `theta(2pi)/3` c. `pi/3

A

`(pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(2)`

D

`(2pi)/(3)ltthetaltpi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are unit vectos inclined at an angle theta then the value of |vec a-vec b| is 2(sin theta)/(2) b.2sin theta c.2(cos theta)/(2) d.2 cos

If vec a and vec b are two vectors and angle between vec a and vec b is theta, then

If vec a and vec b are two unit vectors and theta be the angle between them,then sin((theta)/(2))=

If vec a and vec b are unit vectors,and theta is the angle between them,then |vec a-vec b|=

If unit vectors vec a and vec b are inclined at angle 2 theta such that |vec a-vec b|<1and0<=theta<=pi, then theta lies in interval a.[0,pi/6] b.[5 pi/6,pi] c.[pi/6,pi/2] d.[pi/2,5 pi/6]

Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and the unit vector vec c is inclined at an angle theta to both vec aa n d vec bdot If vec c=m vec a+n vec b+p( vec axx vec b),(m ,n , p in R), then a.pi/4lt=thetalt=pi/4 b. pi/4lt=thetalt=(3pi)/4 c. 0lt=thetalt=pi/4 d. 0lt=thetalt=(3pi)/4

If widehat a,hat b, and hat c are three unit vectors inclined to each other at angle theta ,then the minimum value of theta is (pi)/(3) b.(pi)/(4) c.(2 pi)/(3) d.(5 pi)/(6)

If vec(e_(1)) and vec(e_(2)) are two unit vectors and theta is the angle between them, then sin (theta/2) is:

If vec a and vec b are two unit vectors incline at angle pi/3, then {vec a xx(vec b+vec a xxvec b)}*vec b is equal to (-3)/(4) b.(1)/(4) c.(3)/(4) d.(1)/(2)

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If u = a-b, v =a + b and |a| = |b| = 2, then |u xx v| is

    Text Solution

    |

  2. Let vec aa n d vec b be two non-collinear unit vector. If vec u= vec...

    Text Solution

    |

  3. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

    Text Solution

    |

  4. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

    Text Solution

    |

  5. The vector a + 3b is perpendicular to 7a-5b and a-5b is perpendicular ...

    Text Solution

    |

  6. Four points with position vectors 7i-4j+7k, i -6j+10k,-i-3j+4k and 5i-...

    Text Solution

    |

  7. a, b, c, d are the vertices of a square, then

    Text Solution

    |

  8. ai + 3j + 4k and sqrt(b) i+5k are two vectors, where a, b gt 0 are tw...

    Text Solution

    |

  9. A parallelogram is constructed on the vectors r(1) = 3a-b, r(2) = a + ...

    Text Solution

    |

  10. The vectors a =3i-2j+2k and b =-i-2k are adjacement sides of a parall...

    Text Solution

    |

  11. The length of longer diagonal of the parallelogram constructed on 5...

    Text Solution

    |

  12. OABC is a parallelogram such that OA = a, OB = b and OC =c, then the v...

    Text Solution

    |

  13. Find the length of perpendicular from the piont A(1,4,-2) to the line ...

    Text Solution

    |

  14. Let the points P, Q and R have position vectors r(1) = 3i-2j-k r(2...

    Text Solution

    |

  15. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

    Text Solution

    |

  16. IF veca, vecb, vecc are the position vectors of the vertices of an equ...

    Text Solution

    |

  17. If a, b, c, d are the position vectors of points A, B, C and D respec...

    Text Solution

    |

  18. The position vectors of four points A, B, C, D lying in a plane are a,...

    Text Solution

    |

  19. Area of parallelogram whose adjacent sides of a = i +2j+3k, b = 3i-2j...

    Text Solution

    |

  20. The vector A = 3i-k, b=i+2j are adjacent sides of a parallelogram . It...

    Text Solution

    |