Home
Class 12
MATHS
The vector equation of the line passing ...

The vector equation of the line passing through the point (-1, -1 ,2) and parallel to the line 2x - 2= 3y +1 = 6z -2 is

A

`(hati -hatj +hatk) + lambda(3hati + 2hatj +hatk)`

B

`(hati - 1/3hatj + 1/3hatk) +lambda(3hati + 2hatj +hatk)`

C

`(hati - 1/3hatj + 1/6hatk) + lambda(3hati + 2hatj + hatk)`

D

`(hati - 2hatj - hatk) + lambda(2hati + hatj - 6hatk)`

Text Solution

Verified by Experts

The correct Answer is:
C
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 vector equation of the line passing throught the point ( -1, - 1, 2 ) and parallel to the line 2x - 2 = 3y + 1 = 6 z - 2 .

Find the vector equation of the line passing through the point A(1,2,1) and parallel to the line 5x25=147y=35z

Find the vector equation of the line passing through the point (2,-1,-1) which is parallel to the line 6x-2=3y+1=2z-2

Find the Cartesian equations of the line passing through (-1,-1,2) and parallel to the line 2x-2=3y+1=6z-2

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0

Equation of the line passing through (1,1,1) and parallel to the plane 2x+3y+z+5=0

Find the equations of the line passing through the point (1, -2, 3) and parallel to the planes : x - y + 2z = 5 and 3x + 2y - z = 6 .

Write the vector equation of a line passing through the point (1,-2,2) and parallel to the line whose equations are (x-3)/(1)=(y-1)/(2)=(z+1)/(-2)

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. The cartesian equation of a line is 3x + 1 = 6 y - 2 =...

    Text Solution

    |

  2. The cartesian equation of a line is 3x - 1 = 6y + 2 = 1 - z . Find the...

    Text Solution

    |

  3. The vector equation of the line passing through the point (-1, -1 ,2) ...

    Text Solution

    |

  4. The vector form of the equation of the line 6x - 2 = 3y + 1 = 2z - 2 ...

    Text Solution

    |

  5. The vector equation of the line (x+2)/(3)=(1-y)/(-2)=(z-5)/(7) is

    Text Solution

    |

  6. The Cartesian equationof a line are 3x+1=6y=2=1-z. Find the direction ...

    Text Solution

    |

  7. The Cartesian equationof a line are 3x+1=6y=2=1-z. Find the direction ...

    Text Solution

    |

  8. The equation of line is 2x - 2 = 3y + 1 = 6z - 2 find its directi...

    Text Solution

    |

  9. Direction cosines of the line (x+2)/(2)=(2y-5)/(3),z=-1 are

    Text Solution

    |

  10. If(x-1)/l=(y-2)/m=(z+1)/n is the equation of the line through (1,2,-1)...

    Text Solution

    |

  11. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is Parallel to x-axis Parall...

    Text Solution

    |

  12. The points (-2,3,4), (1,1,2) and (4,-1,0) are

    Text Solution

    |

  13. The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk ...

    Text Solution

    |

  14. Find lamda, if the points (-1, 3 ,2),(-4, 2 ,-2)and(5, 5 ,lambda) are ...

    Text Solution

    |

  15. If l(1), m(1), n(1), l(2), m(2), n(2) and l(3), m(3), n(3) are directi...

    Text Solution

    |

  16. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

    Text Solution

    |

  17. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

    Text Solution

    |

  18. Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be...

    Text Solution

    |

  19. Find the shortest distance between the lines vecr = hati+ hatj+hatk+...

    Text Solution

    |

  20. Show that the lines ( x+1)/(-10) = ( y + 3)/(-1) = ( z - 4) / (1) "an...

    Text Solution

    |