Home
Class 12
MATHS
Show that the points (1,1,1),(2,-1,2),(-...

Show that the points (1,1,1),(2,-1,2),(-1,2,2) and (2,2,-1) are coplanar.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

Show that the points (1,-1,1),(2,3,1),(1,2,3) and (0,-2,3) are coplanar. Find the equation of the plane in which they lie.

Show that the points (1,0,1),(1,1,0),(0,1,1) and (0,0,2) are coplanar.

Show that the points A(3,2,1),B(4,5,5),C(4,2,-2) and D(6,5,-1) are coplanar.

Show that the points (-6,3,2),(3,-2,4),(5,7,3) and (-13,17,-1) are coplanar.

Using section formula, show that the points A(2,-3,4), B(-1,2,1) and C(0,(1)/(2),2) are collinear.

Show that the points (-1,2,1), (1,-2,5), (4,-7,8) and (2,-3,4) are vertices of a parallelogram.

Show that the points : (0,4,1),(2,3,-1),(4,5,0) and (2,6,2) are vertices of square.

Show that . the points (2. 6, 3), (1, 2, 7) and (3, 10, -1) are collinear. (by vector method only)

Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) are the vertices of a parallelogram.

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Prove that the points whose position vectors are hat i - hat j+ hat k,...

    Text Solution

    |

  2. Prove that the vectors vec a = hat i- 2 hat j+ hat k, vec b= -2 hat i+...

    Text Solution

    |

  3. Show that the points (1,1,1),(2,-1,2),(-1,2,2) and (2,2,-1) are coplan...

    Text Solution

    |

  4. Show that the points A(4,5,1), B(0,-1,-1), C(3,9,4) and D(-4,4,4) are ...

    Text Solution

    |

  5. If vec a, vec b and vec c are non-coplanar (independent) vectors, prov...

    Text Solution

    |

  6. Find vec v underset 1 * vec v underset 2 when vec v underset 1= 4 hat ...

    Text Solution

    |

  7. Find vec v underset 1 * vec v underset 2 when vec v underset 1= (1,3,5...

    Text Solution

    |

  8. Find the angle between the vectors: vec v underset 1= hat i-2 hat j-...

    Text Solution

    |

  9. Find the angle between the vectors: vec v underset 1= (3,5,4) and ve...

    Text Solution

    |

  10. Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j-...

    Text Solution

    |

  11. If vec a= 2 hat i- hat j+ hat k, vec b= hat i+ hat j- 2 hat k and vec ...

    Text Solution

    |

  12. Find the value of a for which the vector 3 hat i+ 2 hat j+ 9 hat k and...

    Text Solution

    |

  13. Find the value of a for which the vector 3 hat i+ 2 hat j+ 9 hat k and...

    Text Solution

    |

  14. If (vec a)^2 =(vec b)^2, is it necessary that vec a= vec b ?

    Text Solution

    |

  15. Find the angles which the vector 3 hat i- 6 hat j+ 2 hat k makes the c...

    Text Solution

    |

  16. If vec a and vec b are two vectors such that |quad vec a + vec b|= |qu...

    Text Solution

    |

  17. If vec a and vec b are two vectors such that |quad vec a + vec b|= |qu...

    Text Solution

    |

  18. If vec a is any vector in space, then show that vec a= ( vec a* hat i...

    Text Solution

    |

  19. If the vertices A,B,C of triangle ABC have position vectors (1,2,3), (...

    Text Solution

    |

  20. If hat i+ hat j+ hat k,2 hat i+ 5 hat j, 3 hat i+ 2 hat j- 3 hat k and...

    Text Solution

    |