Home
Class 12
MATHS
Find the vector equation of the line (x-...

Find the vector equation of the line `(x-5)/(3) = (y+4)/(7) = (z-5)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`vecr = ( 5 hati -4 hatj + 6 hatk)+ lamda (3 hati + 7 hatj + 2 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

The vector equation of the line (x-5)/(3) = ( y +4)/(7) = (z-6)/(2) is vecr = 5 hati - 4 hatj + 6 hatk + lamda( 3 hati + 7 hatj + 2hatk)

Find the vector equation of the plane x+7y-5z+19=0

Write the vector equation of the line given by (x-5)/3=(y+4)/7=(z-6)/2

Write the vector equations of the lines (x-1)/(2) = (y-2)/(3)=(z+4)/(6) and (x-3)/(4)=(y-3)/(6)=(z+5)/(12) .

Write the vector equation of the following line: (x-5)/3=(y+4)/7=(6-z)/2

Write the vector equation of a line given by (x-5)/3=(y+4)/7=(z-6)/2

The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) and the plane 2x-2y+z=5 is

The cartesian equation of a line is (x+2)/(1) = (y+3)/(-2) = (z)/(3) , find its vector equation.

The cartesian equation of a line is (x-5)/3=(y+4)/7=(z-6)/2 . Write its vector form.

The cartesian equation of a line is (x-5)/3=(y-4)/7=(z-6)/2 . Write its vector form.

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE ADVANCED (ARCHIVE)
  1. Find the vector equation of the line (x-5)/(3) = (y+4)/(7) = (z-5)/(2)...

    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

    |