Home
Class 12
MATHS
The angle between the unit vectors vec(a...

The angle between the unit vectors `vec(a)` and `vec(b)` is `2theta`. Where `theta in [0,pi]`. If `|vec(a)-vec(b)|lt 1` then `theta in` …………… interval.

A

`[0,(pi)/(6)]`

B

`[(pi)/(6),(pi)/(2)]`

C

`[(5pi)/(6),pi]`

D

`[(pi)/(2),(5pi)/(6)]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

If the angle between the unit vectors vec(a) and vec(b) is theta then prove that sin""(theta)/(2)=(1)/(2)|hata-hatb| .

The angle between the vectors vecA and vecB is theta. The value of vecA(vecAxx vec B) is -

Angle between vec(a) and vec(b) is 60^(@) then

If theta is angle between two vectors vec(a) and vec(b) then vec(a).vec(b)ge 0 only when …….

vec(a) and vec(b) are any two vectors. Prove that |vec(a)+vec(b)|le|vec(a)|+|vec(b)|

The angle between two adjacent sides vec(a)andvec(b) of parallelogram is (pi)/(6) .If vec(a)=(2,-2,1)and|vec(b)|=2|vec(a)| ,then area of this parallelogram is .......

For any two vectors vec(a) and vec(b) , we always have |vec(a)+vec(b)|le|vec(a)|+|vec(b)| (triangle inequality).

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The position vectors of two points A and B are respectively 6vec(a)+2v...

    Text Solution

    |

  2. The position vectors of the vertices of triangle are 3hati+4hatj+5hatk...

    Text Solution

    |

  3. The angle between the unit vectors vec(a) and vec(b) is 2theta. Where ...

    Text Solution

    |

  4. squareABCD is a parallelogram. (A(1)) and B(1) are midpoints of the si...

    Text Solution

    |

  5. In DeltaABC,vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk. Length ...

    Text Solution

    |

  6. If bar(x)=(a,4,2a) and bar(y)=(2a,-1,a) are perpendicualr to each othe...

    Text Solution

    |

  7. If bar(x)=(3,1,0),bar(y)=(2,2,3),bar(z)=(-1,2,1). If bar(x)|(bar(y)+...

    Text Solution

    |

  8. If bar(x)=(1,2,4),bar(y)=(-1,-2,k),k ne -4 then |bar(x).bar(y)|………|bar...

    Text Solution

    |

  9. If bar(a)=(-3,1,0) and bar(b)=(1,-1,-1) then "Comp"(bar(a))bar(b) …………...

    Text Solution

    |

  10. The projection of (1, 2, -1) on hati is …………….

    Text Solution

    |

  11. A(3,-1),B(2,3) and C(5,1) are given then m angleA = ………

    Text Solution

    |

  12. bar(x) and bar(y) are unit vectors and (bar(x)""(,)^(hat)bar(y))=theta...

    Text Solution

    |

  13. If |bar(x)+bar(y)|=|bar(x)-bar(y)|, then

    Text Solution

    |

  14. bar(x),bar(y),bar(z) are zero vectors. If …………… then bar(x).bar(y)=bar...

    Text Solution

    |

  15. bar(x),bar(y),bar(z) are non zero vectors. If (bar(x)""(,)^(hat)bar(y)...

    Text Solution

    |

  16. If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z...

    Text Solution

    |

  17. If bar(a)=(3,1,-2) and bar(b)=(1,3,-2) then (bar(a)" "^(hat)bar(b)) = ...

    Text Solution

    |

  18. If bar(x)=(1,1,-1),bar(y)=(-1,2,2) and bar(z)=(-1,2,-1) then the unit ...

    Text Solution

    |

  19. If (3hati+4hatj+9hatk) and (a hati-3hatj+1hatk) are perpendicualr to e...

    Text Solution

    |

  20. If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then...

    Text Solution

    |