Home
Class 12
MATHS
Let A(2hat(i)+3hat(j)+5hat(k)), B(-hat(i...

Let `A(2hat(i)+3hat(j)+5hat(k)), B(-hat(i)+3hat(j)+2hat(k)) and C(lambdahat(i)+5hat(j)+muhat(k))` are vertices of a triangle and its median through A is equally inclined to the positive directions of the axes, the value of `2lambda-mu` is equal to

A

0

B

1

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
NA
Promotional Banner

Topper's Solved these Questions

  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • SCALER AND VECTOR PRODUCTS OF TWO VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|12 Videos

Similar Questions

Explore conceptually related problems

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

If vector hat(i) - 3hat(j) + 5hat(k) and hat(i) - 3 hat(j) - a hat(k) are equal vectors, then the value of a is :

If a=2hat(i)+3hat(j)-hat(k), b=-hat(i)+2hat(j)-4hat(k), c=hat(i)+hat(j)+hat(k) , then find the value of (atimesb)*(atimesc) .

Vertices of a triangle are given by hat(i)+3hat(j)+2hat(k), 2hat(i)-hat(j)+hat(k) and -hat(i)+2hat(j)+3hat(k) , then area of triangle is (in units)

What is the value of m if the vectors 2hat(i)-hat(j)+hat(k), hat(i)+2hat(j)-3hat(k) and 3hat(i)+m hat(j)+5 hat(k) are coplanar?

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat i-4 hat j+5 hat k are the vertices of a right angled triangle.

Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat i-4 hat j+5 hat k are the vertices of a right angled triangle.

OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that v...

    Text Solution

    |

  2. If veca, vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,...

    Text Solution

    |

  3. If [(veca,vecb,vecc)]=3, then the volume (in cubic units) of the paral...

    Text Solution

    |

  4. If V is the volume of the parallelepiped having three coterminous edge...

    Text Solution

    |

  5. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  6. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

    Text Solution

    |

  7. Let the position vectors of vertices A,B,C of DeltaABC be respectively...

    Text Solution

    |

  8. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

    Text Solution

    |

  9. veca and vecb are two unit vectors that are mutually perpendicular. A...

    Text Solution

    |

  10. If the vectors 2ahati+bhatj+chatk, bhati+chatj+2ahatk and chati+2ahatj...

    Text Solution

    |

  11. Let alpha = a hati + b hatj + chatk , vecbeta = bhati + chatj + ahatk ...

    Text Solution

    |

  12. Let veca,vecb,vecc be three mutually perpendicular vectors having same...

    Text Solution

    |

  13. Let veca,vecb and vecc be the three non-coplanar vectors and vecd be a...

    Text Solution

    |

  14. Let vecr be a unit vector satisfying vecr xx veca = vecb, " where " |v...

    Text Solution

    |

  15. Let veca and vecc be unit vectors such that |vecb|=4 and vecaxxvecb=2(...

    Text Solution

    |

  16. If veca+2vecb+3vecc=0, then vecaxxvecb+vecbxxvecc+veccxxveca=

    Text Solution

    |

  17. If in triangle ABC, vec(AB) = vecu/|vecu|-vecv/|vecv| and vec(AC) = (...

    Text Solution

    |

  18. Let A(2hat(i)+3hat(j)+5hat(k)), B(-hat(i)+3hat(j)+2hat(k)) and C(lambd...

    Text Solution

    |

  19. A plane is parallel to the vectors hati+hatj+hatk and 2hatk and anothe...

    Text Solution

    |

  20. If A,B,C,D are four points in space, then |vec(AB)xvec(CD)+vec(BC)xxve...

    Text Solution

    |