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

The vector equation of the line passing through the points `A(3,4,-7) and B (1,-1,6)` is

Text Solution

Verified by Experts

The correct Answer is:
`(x-3) hati + (y-4) hatj + (z + 7) hatk = lamda (-2hati - 5 hatj + 13 hatk)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-1|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation for the line passing through the points (1, 0, 2) and (3, 4, 6) .

Find the vector equation of the straighat line passing through the point: (1,1,0) and (0,1,1)

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

Find the vector equation of the plane passing through the points A(2,2,-1),B(3,4,1)a n dC(7,0,6)dot Also, find the Cartesian equation of the plane.

Find the vector equation of the line passing thought the points (-1,\ 0,\ 2)a n d\ (3,\ 4,\ 6)dot

Find the equation of a line : passing through the points (-3, 1) and (1,5).

Find the equation of a line passing through the points (3,5) and (-2, 1).

Find the equation of the line passing through the points (1, 2, 3) and (-1, 0, 4).

Find the vector equation of line passing through A(3, 4, -7) and B(1, -1, 6) . Also, find its cartesian equations.

find the vector equation of the line passing through the point A(2,-1,1) and parallel to the ine joining the points B(-1,4,1) and C(1,2,2). Also find the Cartesian equation of the line.

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. The vector equation of the line passing through the points A(3,4,-7) a...

    Text Solution

    |

  2. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  3. The equation of the plane passing through the point (1,1,1) and perpen...

    Text Solution

    |

  4. A line with positive direction cosines passes through the point P(2, -...

    Text Solution

    |

  5. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  6. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

    Text Solution

    |

  10. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  11. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  12. The equation of a plane passing through the line of intersection of th...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

    Text Solution

    |

  15. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  16. Consider three planes P(1):x-y+z=1, P(2):x+y-z=-1 and P(3):x-3y+3z=2...

    Text Solution

    |

  17. Consider the planes 3x-6y-2z=15 and 2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  18. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  19. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  20. A line l passing through the origin is perpendicular to the lines l(...

    Text Solution

    |

  21. In R(3) , consider the planes P(1):y=0and P(2) : x+z=1. Let P(3) ...

    Text Solution

    |