Home
Class 12
MATHS
A unit vector parallel to the straight l...

A unit vector parallel to the straight line: `(x-2)/3=(3+y)/-1=(z-2)/-4` is:

A

`1/sqrt26(3hati-hatj+4hatk)`

B

`1/sqrt26(hati+3hatj-hatk)`

C

`1/sqrt26(3hati-hatj-4hatk)`

D

`1/sqrt26(3hati+hatj+4hatk)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the cartesian as well as the vector equation of the line passing through : (0,-1,4) and parallel to the straight line : (-x-2)/1=(y+3)/7=(2z-6)/3

Find the vector equation of the line parallel to the line : (x-1)/5=(3-y)/2=(z+1)/4 and passing through (3,0,-4). Also find the distance between these two lines.

Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z+3)/6 and passing through the point (1,2,3).

Write the direction cosine of a line parallel to the line : (3-x)/3=(y+2)/-2=(z+2)/6

Find the vector and cartesion equation of the line through the point (3,0,3) and is parallel to the line (x-2)/(3)=(y+1)/(1)=(z-7)/(9) .

Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4 .

Find the vector and cartesion equation of the line through the point (1,2,3) and is parallel to the line (-x-2)/(3)=(y+3)/(7)=(2z-6)/(3)

Find the distance of the point (2,3,4) measured parallel to the line (x-3)/(3)=(y-2)/(6)=(z)/(2) from the plane 3x+2y+2z-5=0

Equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/3=y/4=z/2 and x/4=y/2=z/3 is :

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. If the direction cosines of a vector of magnitude 3 are <2/3, -a/3, 2/...

    Text Solution

    |

  2. Equation of line passing through the point (2,3,1) and parallel to the...

    Text Solution

    |

  3. A unit vector parallel to the straight line: (x-2)/3=(3+y)/-1=(z-2)/-4...

    Text Solution

    |

  4. The angle between a normal to the plane : 2x-y+2z-1=0 and the z axis i...

    Text Solution

    |

  5. Find the coordinates of the Foot of the perpendicular drawn from the ...

    Text Solution

    |

  6. The distance between the x axis and the point (3,12,5) is :

    Text Solution

    |

  7. The shortest distance of the point (a,b,c) from the x-axis is

    Text Solution

    |

  8. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

    Text Solution

    |

  9. The line (x-2)/3=(y-3)/4=(z-4)/5 is parallel to the plane:

    Text Solution

    |

  10. Prove that the angle between any two diagonals of a cube is cos^-1frac...

    Text Solution

    |

  11. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

  12. If the straight lines : (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z...

    Text Solution

    |

  13. Let P(3, 2, 6) be a point in space and Q be a point on the line r=(ha...

    Text Solution

    |

  14. A line with positive direction cosines passes through the pint P(2,-1,...

    Text Solution

    |

  15. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  16. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  17. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  18. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

    Text Solution

    |

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

    Text Solution

    |

  20. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |