Home
Class 12
MATHS
A plane passes through the point (1,-2,5...

A plane passes through the point `(1,-2,5)` and is perpendicular to the line joining the origin to the point `3 hat i+ hat j- hat kdot` Find the vector and Cartesian forms of the equation of the plane.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos
  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find equations of the line in vector and Cartesian form.

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find the equations of the line in vector and Cartesian forms.

A line passes through the point with position vector 2 hat i-3 hat j+4 hat k and is in the direction of 3 hat i+4 hat j-5 hat kdot Find the equations of the line in vector and Cartesian forms.

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 3 hat i+2 hat j-2 hat k .

Find the direction cosines of perpendicular from the origin to the plane vec rdot(2 hat i-3 hat j-6 hat k)+5=0.

Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector 6 hat i+4 hat j-2 hat k .

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

Find the unit vector perpendicular to the plane vec rdot(2 hat i+ hat j+2 hat k)=5.

Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 hat ka n d hat i+2 hat j- hat kdot

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Let vec n be a vector of magnitude 2sqrt(3) such that it makes equal ...

    Text Solution

    |

  2. A vector vec n of magnitude 8 units is inclined to x-axis at 45^0 ,...

    Text Solution

    |

  3. A plane passes through the point (1,-2,5) and is perpendicular to the ...

    Text Solution

    |

  4. Find the vector and Cartesian equations of the plane containing the tw...

    Text Solution

    |

  5. Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+...

    Text Solution

    |

  6. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

    Text Solution

    |

  7. Equation of plane which passes through the intersection point of the l...

    Text Solution

    |

  8. Find the coordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)...

    Text Solution

    |

  9. Find the shortest distance between the skew-line4s l1:(x-1)/2=(y+1)/1...

    Text Solution

    |

  10. Find the distance between the line vec r=(- hat i+3 hat k)+lambda( ha...

    Text Solution

    |

  11. Find the shortest distance between the lines (x-2)/2=(y+1)/3=(z-0)/4a ...

    Text Solution

    |

  12. Find the image of the point having position vector hati + 3hatj + 4hat...

    Text Solution

    |

  13. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  14. Find the equation of a plane which meets the axes in A ,Ba n dC , give...

    Text Solution

    |

  15. Show that the four points (0,-1,-1),(-4,4,4),(4,5,1)a n d(3,9,4) are ...

    Text Solution

    |

  16. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

    Text Solution

    |

  17. Find the equation of the plane through the points A(2,2,-1),B(3,4,2)a ...

    Text Solution

    |

  18. A variable plane moves in such a way that the sum of the reciprocals o...

    Text Solution

    |

  19. A plane meets the coordinate axes in A ,B ,C such that the centroid of...

    Text Solution

    |

  20. Write the equation of the plane whose intercepts on the coordinate axe...

    Text Solution

    |