Home
Class 12
MATHS
The line of intersection of the planes v...

The line of intersection of the planes `vec r . (3i-j+k) =1` and `vec r . (i+4j-2k) = 2` is parallel to the vector

A

2i+7j+13k

B

-2i -7j +13k

C

2i -7j +13k

D

-2i + 7j +13k

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

Let vec A be a vector parallel to the line of intersection of planes P_(1) and P_(2) through the origin. P_(1) is parallel to the vectors 2j+3k and 4j-3k and P_(2) is parallel to j-k and 3i+3j, then the angle between vec A and 2i+j-2k is

A non-zero vector vec a is parallel to the line of intersection of the planes determined by the vectors i, i+j and the plane determined by the vectors i-j, j+k. The angle between vec a and i-2j+2k is

If the planes vec r . (2i + lambda j +k) = 3 and vec r . (4i+j+muk) = 5 are parallel, then the values of lambda and mu are

A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b = 4i+3j-k is

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

Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the origin is

If vec a . i = vec a . (2i+j) = vec a . (i+j+3k) = 1 , then vec a =

If vec a . i = vec a . (i+j) = vec a . (i+j+k) = 1 , then vec a =

If the vectors vec a = ki +3j and vec b = 4i + kj (k ne 0) are collinear then

Let vec a = i-2j+3k, vec b = 3i+3j-k and vec c = di + j + (2d-1)k . If vec c is parallel to the plane of the vector vec a and vec b then 11d =

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

    Text Solution

    |

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

    Text Solution

    |

  3. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

    Text Solution

    |

  4. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

    Text Solution

    |

  5. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

    Text Solution

    |

  6. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  7. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

    Text Solution

    |

  8. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

    Text Solution

    |

  9. If the direction cosines of a line are 1/c, 1/c, 1/c then,

    Text Solution

    |

  10. The equation of the right bisector plane of the segment joining (2,3,...

    Text Solution

    |

  11. The angle between a line with direction ratio proportional to 2,2,1 an...

    Text Solution

    |

  12. Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...

    Text Solution

    |

  13. Equation of the plane passing through the mid point of the line segmen...

    Text Solution

    |

  14. If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...

    Text Solution

    |

  15. The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1...

    Text Solution

    |

  16. A non-zero vector vec a is parallel to the line of intersection of the...

    Text Solution

    |

  17. The projection of the line joining the points (3,4,5) and (4,6,3) on t...

    Text Solution

    |

  18. The projection of a line segment on the coordinate axes are 2,3,6. The...

    Text Solution

    |

  19. The equation of the plane through the intersection of the planes x+y+z...

    Text Solution

    |

  20. The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z...

    Text Solution

    |