Home
Class 12
MATHS
Show that the four points having posi...

Show that the four points having position vectors `6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ,3 hat j-6 hat k ,2 hat i+5 hat j+10 hat k` are not coplanar.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (j) Long Answer Type Questions (I)|12 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (j) Long Answer Type Questions (II)|1 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (i) Long Answer Type Questions (I)|8 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

Show that the four points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i-5hat j+10k are coplanar.

Show that the points having position vectors 6hat i-7hat j,16hat i-19hat j-4hat k,3hat j-6hat k,2hat i+5hat j+10hat k are not coplanar.

The four points whose position vector are 6hat i-7hat j,16hat i-29hat j-4hat k,3hat i-6hat k,2hat i+5hat j+10k are

Show that four points whose position vectors are 6hat i-7hat j,16i-19hat j-4hat k,3hat i-6hat k,2hat i-5hat j+10hat k are coplanar.

Prove that the four points having position vectors are non-coplanar; 3hat i+hat j-hat k,2hat i-hat j+7hat k and 7hat i-hat j+23hat k

Prove that the four points having position vectors are coplanar: 2hat i-hat j+hat k,hat i-3hat j-5hat k and 3hat i-4hat j-4hat k

Prove that the four points having position vectors are coplanar: hat i+hat j+hat k,2hat i+3hat j-hat k and -hat i-2hat j+2hat k

Prove that the four points having position vectors are non-coplanar: hat i+2hat j+3hat k,2hat i+hat j+3hat k and hat i+hat j+hat k

Find the value of lambda for which the four points with position vectors -hat j-hat k,4hat i+5hat j+lambdahat k,3hat i+9hat j+4hat k and 4hat i+4hat j+4hat k are coplanar.

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (j) Short Answer Type Questions
  1. Find vec(a).(vec(b)xx vec(c )) if : vec(a)=2hat(i)+hat(j)+3hat(k), v...

    Text Solution

    |

  2. Show that if vec(a)+vec(b), vec(b)+vec(c ), vec(c )+vec(a) are coplana...

    Text Solution

    |

  3. If vec(a)=7hat(i)-2hat(j)+3hat(k), vec(b)=hat(i)-hat(j)+2hat(k), vec(c...

    Text Solution

    |

  4. Show that the vectors vec(a), vec(b), vec(c) are coplanar, when (i) ...

    Text Solution

    |

  5. Show that the following vectors are coplanar : -2hat(i)-2hat(j)+4...

    Text Solution

    |

  6. For what value of 'lambda' are the following vectors coplanar ? ve...

    Text Solution

    |

  7. For what value of 'lambda' are the following vectors coplanar ? v...

    Text Solution

    |

  8. For what value of 'lambda' are the following vectors coplanar ? ve...

    Text Solution

    |

  9. For what value of 'lambda' are the following vectors coplanar ? ve...

    Text Solution

    |

  10. Show that the four points A, B, C and D with position vectors 4hat(i)+...

    Text Solution

    |

  11. Show that the four points with position vectors4 hat i+8 hat j+12 hat ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the value of 'x' for which the four points : A(x, -1, -1), B(4, 5...

    Text Solution

    |

  14. Find the value of 'x' such that four points with position vectors : A(...

    Text Solution

    |

  15. Show that the four points having position vectors 6 hat i-7 hat j ,...

    Text Solution

    |

  16. Find the volume of the parallelopiped whose sides are given by the vec...

    Text Solution

    |

  17. Find the volume of the parallelopiped with coteminous edges AB, AC an...

    Text Solution

    |