Home
Class 12
MATHS
The values of a for which the points A, ...

The values of `a` for which the points `A, B,` and `C` with position vectors `2hati - hatj + hatk, hati - 3hatj - 5hatk,` and `ahati - 3hatj + hatk`,respectively, are the vertices of a right-angled triangle with `C = pi/2` are

A

`-2 and -1`

B

`-2 and 1`

C

`2 and -1`

D

`2 and 1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|18 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 value of 'a' for which the points A, B,C with position vectors 2hati - hatj + hatk , hati + 2hatk, hati -3hatj - 5hatk and a hati -3hatj +hatk respectively are the vertices of a right angled triangle with C = pi//2 , are

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

The value of a for which the points A,B,C with position vectors 2hati-hatj+hatk, hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices are the vetices of a righat angled triangle with C=pi/2 are (A) -2 and -1 (B) -2 and 1 (C) 2 and -1 (D) 2 and 1

The values of a for which the points A,B,C with position vectors 2hati-hatj-hatk, hati-3hatj-5hatk and ahati-3hatj+hatk respectively are the vertices of a righat angled triangle at C are (A) 2 and 1 (B) -2 and -1 (C) -2 and 1 (D) 2 and -1

Show that the points A, B and C with position vectors veca=3hati -4hatj-4hatk , vecb= 2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

Show that the points A, B, and C with position vectgors veca=3hati-4hatj-4hatk, vecb=2hati-hatj+hatk and vec=hati-3hatj-5hatk respectively form the veertices of a righat angled triangle

The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk and 2hati +hatj + 3hatk

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  2. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and veccc=la...

    Text Solution

    |

  3. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  4. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

    Text Solution

    |

  5. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  6. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

    Text Solution

    |

  7. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

    Text Solution

    |

  8. The values of a for which the points A, B, and C with position vectors...

    Text Solution

    |

  9. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |

  10. If veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

    Text Solution

    |

  11. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

    Text Solution

    |

  12. If vec(a)=ht(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yha...

    Text Solution

    |

  13. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

    Text Solution

    |

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

    Text Solution

    |

  15. A particle acted by constant forces 4 hat i+ hat j-3 hat ka n d3 ha...

    Text Solution

    |

  16. If bar u,bar v,bar w are three non coplanar vectors then (bar u+bar ...

    Text Solution

    |

  17. a, b, c are three vectors, such that a+b+c=0 |a|=1, |b|=2, |c|=3, then...

    Text Solution

    |

  18. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

    Text Solution

    |

  19. Let hat u= hat i+ hat j , hat v= hat i- hat ja n d hat w= hat i+2 hat...

    Text Solution

    |

  20. Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j), the unit vect...

    Text Solution

    |