Home
Class 12
MATHS
The position vector of the foot of the p...

The position vector of the foot of the perpendicular draw from the point `2hati-hatj+5hatk` to the line
`vecr=(11hati-2hatj-8hatk)+lamda(10hati-4hatj-11hatk)` is

A

1

B

2

C

3

D

`sqrt(14)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the foot of perpendicular drawn from the point 2hati - hatj + hat5k to the line bar(r) = (11hati + 2hatj - 8hatk) + lamda ( 10 hati - 4hatj - 11hatk) . Also , find the length of perpendicular .

Find the co-ordinates of the foot of perpendicular and length of perpendicular drawn from point (hati+6hatj+3hatk) to the line vecr = hatj+2hatk+lambda(hati+2hatj+3hatk) .

Find the distance of the point hati+2hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=10

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

Prove that the plane vecr*(hati+2hatj-hatk)=3 contains the line vecr=hati+hatj+lamda(2hati+hatj+4hatk).

Find the vector and Cartesian equations of the plane passing through the point (1,2,-4) and parallel to the lines vecr=(hati+2hatj+hatk)-lambda(2hati+3hatj+6hatk) and vecr=(hati-3hatj+5hatk)+mu(hati+hatj-hatk) .

The equation of line passing through (3,-1,2) and perpendicular to the lines vecr=(hati+hatj-hatk)+lamda(2hati-2hatj+hatk) and vecr=(2hati+hatj-3hatk) +mu(hati-2hatj+2hatk) is

Find the angle between the planes. vecr.(hati+hatj+2hatk)=5 and vecr.(2hati-hatj+hatk)=8 .

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. Find the image of the point (0,2,3) in the line (x+3)/(5)= (y-1)/(2) =...

    Text Solution

    |

  2. The position vector of the foot of the perpendicular draw from the poi...

    Text Solution

    |

  3. The position vector of the foot of the perpendicular draw from the poi...

    Text Solution

    |

  4. Find the length of the perpendicular drawn from the point (5, 4, -1) t...

    Text Solution

    |

  5. Find the shortest distance between the following lines : (i) vecr=4h...

    Text Solution

    |

  6. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |

  7. The shortest distance between the lines vecr = (2hati - hatj) + lambda...

    Text Solution

    |

  8. The shortest distance between the lines vecr = (-hati - hatj) + lambd...

    Text Solution

    |

  9. Find the shortest distance between the lines ( x + 1 ...

    Text Solution

    |

  10. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/...

    Text Solution

    |

  11. The shortest distance between the lines (x-5)/4 = (y-7)/-5 = (z+3)/-5 ...

    Text Solution

    |

  12. If OA=a, OB=b, OC=c are the co-terminus edges of regular parallelopipe...

    Text Solution

    |

  13. If OA=a, OB=b, OC=c are the co-terminus edges of regular parallelopip...

    Text Solution

    |

  14. Prove that the shortest distance between the diagonals of a rectangula...

    Text Solution

    |

  15. The line vecr = (8vec - 9vecb + 10vecc) + lambda(3veca - 16vecb + 7vec...

    Text Solution

    |

  16. The lines given by vecr = (hati - hatj) +lambda(2hati +hatk) and vecr ...

    Text Solution

    |

  17. The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

    Text Solution

    |

  18. If a,b,c and 1/(bc), 1/(ca), 1/(ab) are the direction ratio of two lin...

    Text Solution

    |

  19. The lines (x-1)/2= (y-2)/4 = (z-3)/6 and (x-1)/4 = (y-2)/5 = (z-3)/7 a...

    Text Solution

    |

  20. Distance of the point P(x2, y2, z2) from the line (x-x1)/l=(y-y1)/m=(z...

    Text Solution

    |