Home
Class 12
MATHS
Show that the points A(-1,\ 4,\ -3),\ B(...

Show that the points `A(-1,\ 4,\ -3),\ B(3,\ 2,\ -5),\ C(-3,\ 8,\ -5)a n d\ D(-3,\ 2,\ 1)` are coplanar.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

  • SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|114 Videos

Similar Questions

Explore conceptually related problems

Find lambda for which the points A(3,\ 2,\ 1),\ B(4,\ lambda,\ 5),\ C(4,\ 2,\ -2)\ a n d\ D(6,\ 5,\ -1) are coplanar.

Find x such that the four points A\ (3,\ 2,\ 1) , B(4, x ,\ 5) , C\ (4,\ 2,\ 2) and D\ (6,\ 5,\ 1) are coplanar

Using vectors, find the value of x such that the four points A(x,5,-1), B(3,2,1), C(4,5,5) and D(4,2,-2) are coplanar.

Show that the points A(1,\ -2),\ \ B(3,\ 6),\ \ C(5,\ 10) and D(3,\ 2) are the vertices of a parallelogram.

Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ 4) are the vertices of a parallelogram.

Show that the following points are coplanar: (0,\ 4,\ 3),\ (-1,\ -5,\ -3),\ (-2,\ -2,\ 1)a n d\ (1,\ 1,\ -1)dot

Show that the points A(1,2,3),\ B(-1,-2,-1),\ C(2,3,2)a n d\ D(4,7,6) are the vertices of a parallelogram ABCD but not a rectangle.

Show that the points A(0,4,3) , B(-1,-5,-3), C(-2,-2,1) and D(1,1,1) are coplanar. Also find the equation of the plane in which these points lie.

Show that the following points are coplanar: (0,\ -1,\ 0),\ (2,\ 1,\ -1),\ (1, ,1\ ,1)a n d\ (3,\ ,3\ 0)dot

If the points A(3-x, 3, 3), B(3, 3-y, 3), C(3, 3, 3-z) and D(2, 2, 2) are coplanar, then (1)/(x)+(1)/(y)+(1)/(z) is equal to

RD SHARMA ENGLISH-SCALAR TRIPLE PRODUCT -All Questions
  1. Find the value of lambda so that the following vectorts are coplanar...

    Text Solution

    |

  2. Show that the points having position vectors 6 hat i-7 hat j ,\ 16 ...

    Text Solution

    |

  3. Show that the points A(-1,\ 4,\ -3),\ B(3,\ 2,\ -5),\ C(-3,\ 8,\ -5)a ...

    Text Solution

    |

  4. Show that four points whose position vectors are 6 hat i-7 hat j ,\...

    Text Solution

    |

  5. Find the value of lambda for which the four points with position ve...

    Text Solution

    |

  6. Prove that ( vec a- vec b)dot{( vec b- vec c)xx( vec c- vec a)}=0

    Text Solution

    |

  7. Let -> a= hat i+ hat j+ hat k ,"" -> b= hat i""""a n d"" -> c=c1 hat ...

    Text Solution

    |

  8. Find lambda for which the points A(3,\ 2,\ 1),\ B(4,\ lambda,\ 5),\ C(...

    Text Solution

    |

  9. Write the value of [2 hat i\ 3 hat j\ 4 hat k]

    Text Solution

    |

  10. Write the value of [ hat i+ hat j\ hat j+ hat k\ hat k+ hat i]

    Text Solution

    |

  11. Write the value of [ hat i- hat j\ hat j- hat k\ hat k- hat i]

    Text Solution

    |

  12. Find the values of a for which are vectors vecalpha= hat i+2 hat j...

    Text Solution

    |

  13. Find the volume of the parallepiped with its edges represented by t...

    Text Solution

    |

  14. If vec a ,\ vec b ,\ are non collinear vectors, then find the va...

    Text Solution

    |

  15. For any two vectors vec a\ a n d\ vec b writhe the value of ( vec ad...

    Text Solution

    |

  16. If [3 vec a+7 vec b\ vec c\ vec d]=lambda[ vec a\ vec c\ vec d]+mu...

    Text Solution

    |

  17. Find vec a.( vec bxx vec c)\ if\ vec a=2 hat i+ hat j+3 hat k ,\ ve...

    Text Solution

    |

  18. If vec a in the plane of vectors vec b\ a n d\ vec c then which o...

    Text Solution

    |

  19. The value of [ vec a- vec b ,\ vec b- vec c ,\ vec c- vec a],\ w h e...

    Text Solution

    |

  20. If vec a , vec b ,\ vec c are three non coplanar mutually perpend...

    Text Solution

    |