Home
Class 12
MATHS
Find the coordinates of the point where...

Find the coordinates of the point where the line `vecr=(hati+2hatj-5hatk)+t(2hati-3hatj+4hatk)` meets the plane `vecr*(2veci+4vecj-veck)=3`.

Text Solution

Verified by Experts

The correct Answer is:
3, -1,-1
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct answer)|31 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

The coordinates of the point where the line vecr=(6hati-hatj-3hatk)+t(-hati+4hatk) meets the planeb vecr.(hati+hatj-hatk)=3 are __________

Find the coordinates of the points where the straight line vecr=(hati-2hatj-2hatk)+t(4hati+3hatj+2hatk) intersects the plane x-2y+3z+9=0 .

Find the distance of the point (2, 1,-1) from the plane vecr.(hati-2hatj+4hatk)=9 .

Find the angle between the line vecr=(hati+2hatj-hatk)+lamda(hati-hatj+hatk) and the plane ver.(2hati-hatj+hatk)=4

The angle between the line vecr=(hati+2hatj-3hatk)+t(2hati+hatj-2hatk) and the plane vecr*(hati+hatj)+4=0 is :

Find the angle between the line vecr=(2hati-hatj+2hatk)+t(hati+hatj-hatk) and the plane 2x+y-2z=5 .

Find the angle between the line vecr=(2hati+2hatj+hatk)+lambda(2hati-3hatj+2hatk) and the plane vecr.(3hati-2hatj+5hatk)=4

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)
  1. Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Show that the lines vecr=(4veci+5vecj+6veck)+t(2veci+3vecj+4veck) and ...

    Text Solution

    |