Home
Class 12
MATHS
If the line (x)/(1)=(y)/(2)=(z)/(3) then...

If the line `(x)/(1)=(y)/(2)=(z)/(3)` then convert this in a vector form

Text Solution

Verified by Experts

The correct Answer is:
(a, b, c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|35 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|96 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

if equation of the plane is (x-2)/(3)=(y-3)/(4)=(z-4)/(5) convert this in vector equation of the plane

The cartesian equation of a line is (x-1)/(3)=(y-4)/(5)=(z-3)/(2) . Write its vector form.

Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=(z)/(3) to the plane x+y+z=3 . The feet of perpendiculars lie on the line.

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

Find the equation of the plane through the point (1,1,1) , parallel to the line (x-1)/(2)=(y-2)/(-3)=(z-3)/(3) and perpendicular to the plane x-2y+z-6=0 .

The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve x^2+y^2=r^2, z=0 , then

Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z-1)/(1) are coplanar Also find the equation of the plane containing the lines.

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

Vector equation of the line (x+1)/(2)=(y-4)/(4)=(z+6)/(3)

The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z+3=0 is the line

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (More Than One Correct Option Type Questions)
  1. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve x^2+y^2=r...

    Text Solution

    |

  2. A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(...

    Text Solution

    |

  3. Find the equations of the line through the point ( 1 , -2, -3) and par...

    Text Solution

    |

  4. A plane passes through a fixed point (a, b, c) and direction ratios of...

    Text Solution

    |

  5. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  6. Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0,

    Text Solution

    |

  7. Find the direction ratios of this plane 2x-3y+4z+2=0

    Text Solution

    |

  8. A line segment has length 63 and direction ratios are 3,-2 and 6. The ...

    Text Solution

    |

  9. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  10. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  11. The lines x=y=z meets the plane x+y+z=1 at the point P and the sphere ...

    Text Solution

    |

  12. Evaluate int 4x^5 dx

    Text Solution

    |

  13. Consider the planes 2x+y+z+4=0, and y-z+4=0 Find the angle between the...

    Text Solution

    |

  14. The volume of a right triangular prism ABCA(1)B(1)C(1) is equal to 3 c...

    Text Solution

    |

  15. Find the multiplication of 34×0

    Text Solution

    |

  16. Let OABC be a regular tetrahedron with side length unity, then its vol...

    Text Solution

    |

  17. The OABC is a tetrahedron such that OA^2+BC^2=OB^2+CA^2=OC^2+AB^2,then

    Text Solution

    |

  18. If the line (x)/(1)=(y)/(2)=(z)/(3) then convert this in a vector form

    Text Solution

    |

  19. Let PM be the perpendicular form the point P(1,2,3) to the x-y plnae. ...

    Text Solution

    |

  20. Find dy/dx if y=log(logx)

    Text Solution

    |