Home
Class 12
MATHS
Show that the points A ,\ B\ a n d\ C wi...

Show that the points `A ,\ B\ a n d\ C` with position vectos ` vec a=3 hat i-4 hat j-4 hat k ,\ vec b=2 hat i- hat j+ hat k\ a n d\ vec c= hat i-3 hat j-5 hat k` represent, form the vertices of a right angled triangle.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.3)|18 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.4)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.1)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

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

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

Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ vec b=- hat i+2 hat j+ hat k\ a n d\ vec c=3 hat i+ hat j+2 hat kdot

[vec a,vec b,vec c], when vec a=2hat i-3hat j+4hat k,vec b=hat i+2hat j-hat k and vec c=3hat i-hat j+2hat k

vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k,f in d|3vec a-2vec b+4vec c|

underset with a = 2hat i + hat j-3hat k, vec b = -hat i + hat j + 2hat k, vec c = 4hat i + 3hat k

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

If quad vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k find |3vec a-2vec b+4vec c|

Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b=3 hat j+5 hat k , vec c=2 hat i+ hat j-4 hat k from a right angled triangle.

MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.2)
  1. Compute the magnitude of the following vectors: -> a= hat i+ hat j+ h...

    Text Solution

    |

  2. Write two different vectors having same magnitude.

    Text Solution

    |

  3. Write two different vectors having same direction.

    Text Solution

    |

  4. Find the values of 'x' and 'y' so that vectors 2hat(i)+3hat(j) and x h...

    Text Solution

    |

  5. Find the scalar and vector components of the vector with initial point...

    Text Solution

    |

  6. Find the sum of the vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2...

    Text Solution

    |

  7. Find the unit vector in the direction of the vector vec a= hat i9+...

    Text Solution

    |

  8. Find the unit vector in the direction of vector -> P Q , where ...

    Text Solution

    |

  9. For given vectors, -> a=2 hat i- hat j+2 hat kand -> b=- hat i+ hat...

    Text Solution

    |

  10. Find a vector in the direction of vector 5 hat i- hat j+2 hat kwhich ...

    Text Solution

    |

  11. Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...

    Text Solution

    |

  12. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

    Text Solution

    |

  13. Find the direction cosines of the vector joining the points A(1, 2, -3...

    Text Solution

    |

  14. Show that the vector hat i+ hat j+ hat kis equally inclined to the a...

    Text Solution

    |

  15. Find the position vector of a point R which divides the line joining ...

    Text Solution

    |

  16. Find the position vector of the mid point of the vector joining the ...

    Text Solution

    |

  17. Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 ha...

    Text Solution

    |

  18. In triangle ABC, which of the following is not true :

    Text Solution

    |

  19. If vec(a) and vec(b) are two collinear vectors, then which of the foll...

    Text Solution

    |