Home
Class 12
MATHS
Values of a for which the points A, B, C...

Values of a for which the points A, B, C with position vectors 2i - j+k, i - 3j - 5k and ai - 3j +k, respectively, are the vertices of a right angled triangle with `C = (pi)/2` are

A

`-2,-1`

B

`-2,1`

C

`2,-1`

D

`2,1`

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

The values of a,for which points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and ahat i3hat j+hat k respectively are the vertices of a right angled triangle with C=(pi)/(2) are

The values of a for which the points A,B, and C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k, and ahat i-3hat j+hat k respectively,are the vertices of a right-angled triangle with C=(pi)/(2) are

The points A, B and C with position vectors a=3i-4j-4k,b=2i-j+kandc=i-3j-5k , respectively are

The value of 'a',for which the points A,B,C with position vectors 2vec i-vec j+vec k+vec k,vec i-3vec j-5vec k, and avec i-3vec j+vec k are vertices of a right angled triangle with /_C=(pi)/(2) are

Show that the points A,B,C with position vectors 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k respectively,are the vertices of a right angled triangle.Also,find the remaining angles of the triangle.

Show that the points A,B,C with position vectors 2hat ihat j+hat k,hat i35hat k and 3hat i4hat j4hat k respectively,are the vertices of a right-angled triangle.Hence find the area of the triangle.

Show that the points A,B and C with position vectors,vec a=3hat i-4hat j-4hat kvec b=2hat i-hat j+hat k and vec c=hat i-3hat j-5hat k respectively form the vertices of a right angled triangle.

If vectors i + j + k,i - j+k and 2i + 3j + mk are coplanar, then m =

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The vector 3i-2j+k,i-3j+5k and 2i+j-4k form the sides of a triangle, T...

    Text Solution

    |

  2. The three vectors 7i-11j+k, 5i+3j-2k and 12i-8j-k form

    Text Solution

    |

  3. Values of a for which the points A, B, C with position vectors 2i - j+...

    Text Solution

    |

  4. A unit vector a makes an angle pi//4 with z-axis and if a + i+j is a u...

    Text Solution

    |

  5. A unit vector in xy-plane that makes an angle of 45^0 with the vector ...

    Text Solution

    |

  6. If a = i+j-k,b=i-j+k and c is aunit vector perpendicular to the vector...

    Text Solution

    |

  7. If a=-i+j+k and b =2i+0j+k, then the vector c satisfying the conditio...

    Text Solution

    |

  8. If a = 1, -1, 1, a. b =0, a xx b = c, where c = -2, -1, 1 then the vec...

    Text Solution

    |

  9. Let bar(a)=hat j-hat k and bar(c)=hat i-hat j-hat k then the vector ba...

    Text Solution

    |

  10. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

    Text Solution

    |

  11. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

    Text Solution

    |

  12. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

    Text Solution

    |

  13. A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and...

    Text Solution

    |

  14. The vectors a, b and c are of the same length and taken pairwise, they...

    Text Solution

    |

  15. The vector a, b, c are equal in length and taken pairwise they mak equ...

    Text Solution

    |

  16. The vector r satisfying the conditions that I. it is perrpendicular ...

    Text Solution

    |

  17. The values of lambda for which the angle between the vectors a= lambd...

    Text Solution

    |

  18. If a and b are two unit vectors inclined at an angle 2theta to each ot...

    Text Solution

    |

  19. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

    Text Solution

    |

  20. If the vectors a = (2, log(3)x,lambda) and b = (-3,lambdalog(3) x, log...

    Text Solution

    |