Home
Class 12
MATHS
Find the image of the point having posit...

Find the image of the point having position vector `hati + 3hatj + 4hatk` in the planer. `vecr.(2hati – hatj+ hatk) + 3 = 0`

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

Find the image of a point having position vector, 3hati-2hatj+hatk in the plane vecr.(3hati-hatj+4hatk)=2

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

Show that the points A,B and C having position vectors (3hati - 4hatj - 4hatk), (2hati - hatj + hatk) and (hati - 3hatj - 5hatk) respectively, from the vertices of a right-angled triangle.

The vector equation of a plane passing through a point having position vector 2hati+3hatj-4hatk and perpendicular to the vector 2hati-hatj+2hatk , is

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

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

Find the projection of the vector veca=3hati+2hatj-4hatk on the vector vecb=hati+2hatj+hatk .

Find the image of the point (3hati-hatj+11hatk) in the line vecr = 2 hatj + 3hatk+lambda(2hati+3hatj+4hatk) .

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

If three points A, B and C have position vectors hati + x hatj + 3 hatk, 3 hati + 4 hatj + 7 hatk and y hati -2hatj - 5 hatk respectively are collinear, then (x, y) =

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the distance between the line vec r=(- hat i+3 hat k)+lambda( ha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Show that the four point (0,-1,-1),(4,5,1),(3,9,4)a n d(-4,4,4) are co...

    Text Solution

    |

  13. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

    Text Solution

    |

  14. Find the image of the point with position vector 3 hat i+ hat j+2 hat ...

    Text Solution

    |

  15. Find the length and the foot of perpendicular from the point (1,3//...

    Text Solution

    |

  16. Find the distance between the point with position vector hat i-5 hat ...

    Text Solution

    |

  17. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  18. Show that the plane whose vector equation is vec rdot( hat i+2 hat j-...

    Text Solution

    |

  19. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

    Text Solution

    |

  20. Show that the lines vec r=( hat i+ hat j- hat k)+lambda(3 hat i- hat ...

    Text Solution

    |