Home
Class 12
MATHS
The line through hat i+3 hat j+2 hat k ...

The line through ` hat i+3 hat j+2 hat k` and `_|_` to the line ` vec r=( hat i+2 hat j- hat k)+lambda(2 hat i+ hat j+ hat k)a n d` `
` `vec r=(2 hat i+6 hat j+ hat k) +mu( hat i+2 hat j+3 hat k)` is a. ` vec r=( hat i+2 hat j- hat k)+lambda(- hat i+5 hat j-3 hat k)` b. ` vec r= hat i+3 hat j+2 hat k+lambda( hat i-5 hat j+3 hat k)` c. ` vec r= hat i+3 hat j+2 hat k+lambda( hat i+5 hat j+3 hat k)` d. ` vec r= hat i+3 hat j+2 hat k+lambda(- hat i-5 hat j-3 hat k)`

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambda( hat i- hat j+4 hat k) and plane vec rdot(( hat i+5 hat j+ hat k))=5.

Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+lambda( hat i- hat j+ hat k) and the plane vec r . dot(3 hat i- hat j+ hat k)=4.

Find the shortest distance between lines vec r=( hat i+2 hat j+ hat k)+lambda(hat i- hat j+hat k)a n d vec r=2 hat i- hat j- hat k+mu(2 hat i+ hat j+2 hat k)dot

Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda( hat i+2 hat j+2 hat k) a n d vec r=(5 hat j-2 hat k)+mu(3 hat i+2 hat j+6 hat k)dot

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

find the projection of 3hat i - hat j + 4hat k on 2 hat i + 3 hat j -6 hat k

Vectors perpendicular to hat i- hat j- hat k and in the plane of hat i+ hat j+ hat ka n d- hat i+ hat j+ vec k are hat i+ hat k b. 2 hat i+ hat j+ hat k c. 3 hat i+2 hat j+ hat k d. -4 hat i-2 hat j-2 hat k

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  2. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

    Text Solution

    |

  3. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

    Text Solution

    |

  4. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  5. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

    Text Solution

    |

  6. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

    Text Solution

    |

  7. Find the following are equations for the plane passing through the p...

    Text Solution

    |

  8. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

    Text Solution

    |

  9. L1a n dL2 are two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  10. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

    Text Solution

    |

  11. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

    Text Solution

    |

  12. The equation of a plane which passes through the point of intersection...

    Text Solution

    |

  13. If the foot of the perpendicular from the origin to plane is P(a ,b ...

    Text Solution

    |

  14. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

    Text Solution

    |

  15. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

    Text Solution

    |

  16. The coordinates of the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  17. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

    Text Solution

    |

  18. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

    Text Solution

    |

  19. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

    Text Solution

    |

  20. Consider the planes 3x-6y-2z-15 =0 and 2x+y-2z - 5=0 Statement 1:The ...

    Text Solution

    |