Home
Class 12
MATHS
The cartesian equations of a line are 6 ...

The cartesian equations of a line are `6 x-2=3 y+1=2 z-2`.
Find direction of the ratios of the line and write down the cartesian
and vector equations of the line through `(2,-1,-1)`, which is
parallel to the given line.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

Find the Cartesian equation of the line passing through origin and (5,-2,3)

Find the equation of the line passing through (-1,1) and (2, -4)

Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 Find the vector equation of the line.

Consider the equation of the line 3x+4=4y-1=1-4z.(i) Find the direction ratios of this line.

Write the direction ratios of the line x=2y=3z.

Consider the cartesian equation of the line (x-5)/3=(y+4)/7=(z-6)/2 Write the direction ratios of the line.

Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.

Find the equation of the line passing through (-4,3) and with slope 1/2

Find the equation of the tangent to the curve y=x^2-2x+1 which is parallel to the line 2x-y+9=0 .

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Prove that if a plane has the intercepts a, b, c and it is at a distan...

    Text Solution

    |

  2. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

    Text Solution

    |

  3. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

    Text Solution

    |

  4. Can a line have direction angles 45^circ, 60^circ, 135^circ?

    Text Solution

    |

  5. A line makes angles of 45^circ and 60^circ with the positive axes of X...

    Text Solution

    |

  6. Find the direction cosine of a line which makes equal angles with the...

    Text Solution

    |

  7. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

    Text Solution

    |

  8. Find d.c.'s of the line passing through the points 'P(4,3,-5)' and 'Q(...

    Text Solution

    |

  9. A line passes through the points (6,-7,-1) and (2,-3,1) Find the direc...

    Text Solution

    |

  10. Find the angle between the lines whose diréction ratios are '2,3,4' an...

    Text Solution

    |

  11. Find the obtuse angle between the lines with direction ratios '3,-6,2'...

    Text Solution

    |

  12. If points 'P, Q' are '(2,3,-6)' and '(3,-4,5)', find the angle that OP...

    Text Solution

    |

  13. If A, B, C, D are the points (3,4,5),(4,6,3),(-1,2,4) and (1,0,5), fin...

    Text Solution

    |

  14. Find the coordinates of foot of perpendicular drawn from the point (1,...

    Text Solution

    |

  15. Prove that the Iine joining the midpoints of the two sides of a triang...

    Text Solution

    |

  16. The cartesian equations of a line are 6 x-2=3 y+1=2 z-2. Find directi...

    Text Solution

    |

  17. Find the shortest distance between the lines: vecr=3 hati+8 hatj+3 h...

    Text Solution

    |

  18. Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hat...

    Text Solution

    |

  19. Find the angle between the line (x-2)/3=(y+1)/-1=(z-3)/-2 and the plan...

    Text Solution

    |

  20. Find the length and foot of the perpendicular from the point (7,14,5)...

    Text Solution

    |