Home
Class 12
MATHS
If vec(a) and vec(b) are the vectors suc...

If `vec(a)` and `vec(b)` are the vectors such that `|vec(a)|=3sqrt(3), |vec(b)|=4` and `|vec(a)+vec(b)|=sqrt(7)`, then the angle between `vec(a)` and `vec(b)` is

A

`150^(o)`

B

`30^(o)`

C

`60^(o)`

D

`120^(o)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

Vectors vec(a), vec(b) and vec(c ) are such that vec(a) + vec(b) + vec(c ) = 0 and |vec(a)| = 3, |vec(b)| = 5 and |vec(c )| = 7 . Find the angle between vec(a) and vec(b) .

If vec a + vec b + vec c = 0 and |vec a|= 3, |vec b| = 4 and |vec c| = sqrt37 , then the angle between vec a and vec b is

If vec(a)=i-2 j + 3k, vec(b) is a vector such that vec(a).vec(b)= |vec(b)|^(2) |vec(a)-vec(b)|= sqrt7 , then |vec(b)| = ________

If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a and vec b is

If vec(a), vec(b) and vec(c ) are three unit vectors such that vec(a).vec(b) = vec(a).vec(c ) = 0 and angle between vec(b) and vec(c ) is (pi)/(6) , prove that vec(a) = +-2(vec(b) xx vec(c )) .

If vec a and vec b are two unit vectors such that vec a + 2 vec b and 5 vec a - 4 vec b are perpendicular to each other then the angle between vec a and vec b is

If |vec(a)| = 3, |vec(b) = 4 and |vec(a) + vec(b)| = 1 , then |vec(a) - vec(b)| =

If vec a and vec b are unit vectors such that |vec a + vec b| =1, then |vec a - vec b| =

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If the area of the parallelogram with vec(a) and vec(b) as two adjacen...

    Text Solution

    |

  2. If vec(p)=hat(i)+hat(j), vec(q)=4hat(k)-hat(j) and vec(r )=hat(i)+hat...

    Text Solution

    |

  3. If vec(a) and vec(b) are the vectors such that |vec(a)|=3sqrt(3), |vec...

    Text Solution

    |

  4. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

    Text Solution

    |

  5. A vector perpendicular to the plane contianing the points A(1,-1,2), B...

    Text Solution

    |

  6. vec OA and vec BO are two vectors of magnitudes 5 and 6 respectively.I...

    Text Solution

    |

  7. If veca = 2 hat i + 3 hat j - hat k , vec b = hat i + 2 hat j - 5 hat ...

    Text Solution

    |

  8. The projection of a = 3i - j + 5k on b = 2i + 3j +k is

    Text Solution

    |

  9. The area of the triangle whose vertices are A = (1,-1,2), B= (2,1,-1) ...

    Text Solution

    |

  10. The volume of a parallelopiped whose adjacent sides are vec a = i+2j, ...

    Text Solution

    |

  11. If ai+j+k, i+bj+k and i+j+ck are coplanar, then

    Text Solution

    |

  12. If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...

    Text Solution

    |

  13. The value of [vec a - vec b, vec b - vec c , vec c - vec a] where |...

    Text Solution

    |

  14. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

    Text Solution

    |

  15. If vec a = 3i-5j and vec b = 6i+3j are two vectors vec c a vector such...

    Text Solution

    |

  16. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

    Text Solution

    |

  17. If the vectors vec c , veca = x hati + y hatj + z hatk and vecb = hatj...

    Text Solution

    |

  18. The vector hati + hatj + 3 hatk is rotated through an angle theta and...

    Text Solution

    |

  19. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

    Text Solution

    |

  20. If vec u = i+j, vec nu = i-j, and vec w = i+2j+3k. If hat n is a unit ...

    Text Solution

    |