Home
Class 12
MATHS
The angles of a triangle, two of whose s...

The angles of a triangle, two of whose sides are represented by vectors `sqrt(3)(hataxxhatb) and hatb-(a*hatb)hata`, where `hatb` is a non-zero vector and `hata` is a unit vector in the direction of `hata` are

A

`tan^(-1)(sqrt(3))`

B

`tan^(-1)(1//sqrt(3))`

C

`cot^(-1)(0)`

D

`tan^(-1)(1)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 1|13 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

The angles of triangle,two of whose sides are represented by vectors sqrt(3)(widehat a xxvec b and hat b-(widehat a*hat b)widehat a, where vec b) is a non zero vector and widehat a is unit vector in the direction of vec a, are tan^(-1)(sqrt(3)) b.tan^(-1)(1/sqrt(3)) c.cot^(-1)(0) d.tan^(-1)(1)

Find the area of the triangle whose two sides are represented by the vectors 2 hati and - 3 hatj

Find the angle between the unit vectors hata and hatb given that | hata + hatb |=1

Find the angle between two vectors hatA=2hati+hatj-hatk and hatB=hati-hatk

If the angle between the unit vectors hata " and " hatb is 60^(@) , the |hata-hatb| is :-

If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2hatk , where hata is a unit vector, then

If A is a unit vector in a given direction then the value of hatA.(dhatA)/(dt) is

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The angles of a triangle, two of whose sides are represented by vector...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and OX, OY, OZ be three unit vectors in the direct...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |

  7. If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  9. Let vec a =hat i+hat j+hat k,vec b=hat i -hat j+hat k and vec c =hat ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

    Text Solution

    |

  11. Let P, Q, R and S be the points on the plane with position vectors -2h...

    Text Solution

    |

  12. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Lelt two non collinear unit vectors hata and hatb form and acute angle...

    Text Solution

    |

  16. Let the vectors PQ, QR, RS, ST, TU and UP represent the sides of a reg...

    Text Solution

    |

  17. The number of distinct real values of lambda, for which the vectors -l...

    Text Solution

    |

  18. Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0. Whic...

    Text Solution

    |

  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  20. Let a=hat(i)+2hat(j)+hat(k), b=hat(i)-hat(j)+hat(k), c=hat(i)+hat(j)-h...

    Text Solution

    |

  21. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

    Text Solution

    |