Home
Class 12
MATHS
Show that the vectors 2 hat i - 3 hat j...

Show that the vectors ` 2 hat i - 3 hat j + hat k , - 4hati - hat j + 3 hat k and -2 hat i - 4hatj + 4 hat k ` are coplanar.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.1|14 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.2|10 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

If 3 hat i + 6 hat j + 2 hat k , hat i - 2 hat j + 3 hat k and 5 hat i + 2 hat j + m hat k are coplanar.

Show that the vectors 2 hat i - hat j + hat k , hat i - 3 hat j - 5hat k and 3hat i - 4 hat j - 4 hat k from the vertices of a right angled triangle.

Find lambda if the vectors hat i - hat j + hat k , 3 hat i + hat j + 2 hat k and hat i + lambda hat j - 3 hat k are coplanar.

Show that the points A(-2 hat i + 3 hat j + 5 hat k) , B( hat i + 2 hat j + 3 hat k ) and C( 7 hat i - hat k ) are collinear.

Show that the points with the position vectors 2 hat i + 6 hat j + 3 hat k, hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Show that the points with position vectors 2 hat i + 6 hat j + 3 hat k , hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Show that the vectors 2 hat i + 3 hat j + 4 hat k and 4 hat i + 6 hat j + 8 hat k are collinear.

Show that the vectors vec a = hat i - 2 hat j + 3 hat k, vec b = -2 hat i + 3 hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the vectors vec a = hat i - 2 hat j + 3 hat k , vec b = -2 hat i +3hat j - 4 hat k and vec c = hat i - 3 hat j + 5 hat k are coplanar.

Show that the points A, B,C and D with positions vectors 4 hat i +5 hat j + hat k, -( hat j + hat k), 3 hat i + 9 hat j + 4 hat k and -4 hat i + 4 hat j + 4 hat k respectively are coplanar.

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)
  1. Show that the vectors 2 hat i - 3 hat j + hat k , - 4hati - hat j + 3...

    Text Solution

    |

  2. Prove that the sum of the squares of the squares of tha diagonals of a...

    Text Solution

    |

  3. Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...

    Text Solution

    |

  4. Find the vector and cartesian equation of the line through the point (...

    Text Solution

    |

  5. Find the vector and cartesian equation of the line joining the points ...

    Text Solution

    |

  6. Find the angle between the lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and vec...

    Text Solution

    |

  7. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

    Text Solution

    |

  8. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

    Text Solution

    |

  9. Find the vector and cartesian equation of a plane which is at a distan...

    Text Solution

    |

  10. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  11. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  12. Find the Vector and Cartesian equation of the plane containing the lin...

    Text Solution

    |

  13. Find the vector cartesian equation of the plane passing through the po...

    Text Solution

    |

  14. Find the vector and certesian equation of the plane through the points...

    Text Solution

    |

  15. Find the equation of the plane passing through the points (3, 4, 2), (...

    Text Solution

    |

  16. Find the equation of the plane passingthrough the intersection of the...

    Text Solution

    |

  17. Find the distance between the parallel planes vecr*(-hati-hatj+hatk)=3...

    Text Solution

    |

  18. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

    Text Solution

    |

  19. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  20. If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...

    Text Solution

    |

  21. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

    Text Solution

    |