Home
Class 12
MATHS
The direction ratios of vec PQ are 1,2,2...

The direction ratios of `vec PQ` are 1,2,2 and P(2,-1,4). If `|vec PQ| = 5` units, the coordinates of Q are

A

(11, 7, 22)

B

(11/3,7/3,22/3)

C

(11/5,7/5,22/5)

D

(11/2, -7, 22/4)

Text Solution

Verified by Experts

The correct Answer is:
B
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

A line with positive direction cosines passes through the point P (2, - 1, 2) and makes equal angles with the coordinate axes. The line meets the plane 2x + y + z = 9 at point Q. The length of the line segment PQ equals:

find the direction ratios of the vector, joining the points P(2,3,0) and Q(-1,-2,-3) direction from P to Q.

The projection of the line segment joining P(2,-1,0) and Q(3,-2,1) on the line whose direction ratios are 2,3,4 is

A line intersects y-axis and x-axis at the points P and Q respectively. If (2, 5) is the mid point of PQ then find the co ordinates of P and Q.

Write the direction ratios of the vector vec(r)=hati-hatj+2hatk and hence calculate its direction cosines.

Find the unit vector in the direction of vector overline(PQ) , where P and Q are the points P=(1,2,3).Q=(4,5,6) respectively.

Let P and Q be points on the line joining A (-2, 5) and B (3, 1) such that AP = PQ = QB. Then the mid-point of PQ is

Statement 1: if three points P ,Qa n dR have position vectors vec a , vec b ,a n d vec c , respectively, and 2 vec a+3 vec b-5 vec c=0, then the points P ,Q ,a n dR must be collinear. Statement 2: If for three points A ,B ,a n dC , vec A B=lambda vec A C , then points A ,B ,a n dC must be collinear.

The coordinates of the point P=(3,4,5), then the direction cosines of vec OP are

If the area of the parallelogram with vec(a) and vec(b) as two adjacent sides is 15 sq. units, then the area of the parallelogram having 3vec(a)+2vec(b) and vec(a)+3vec(b) as two adjacent sides in sq. units is

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The direction cosines of a normal to the yz-plane are

    Text Solution

    |

  2. If (1/3,1/4,k) are the direction cosines of a line then the value of k...

    Text Solution

    |

  3. The direction ratios of vec PQ are 1,2,2 and P(2,-1,4). If |vec PQ| = ...

    Text Solution

    |

  4. If the direction cosines of two lines are proportional to 2,3,-6 and 3...

    Text Solution

    |

  5. A line making anlges 45^(@) and 60^(@) with the positive direction o...

    Text Solution

    |

  6. The distance of the point (4,3,5) from the y-axis is

    Text Solution

    |

  7. The distance of the point A(2,3,4) from z-axis is

    Text Solution

    |

  8. Coordinates of the foot of the perpendicular from the point (3,4,7) on...

    Text Solution

    |

  9. If the points (7,-2) , (5,1) and (3,5) are collinear. Find the value o...

    Text Solution

    |

  10. The points A (4,5,1), B (0,-1,-1), C(3,9,4) and D(-4,4,4) are

    Text Solution

    |

  11. The direction cosines l, m, n of two lines are connected by the relati...

    Text Solution

    |

  12. The ratio in which the line joining points (2, 4, 5), (3,5,- 4) is div...

    Text Solution

    |

  13. The projection of a line segment on x, y, z axes are respectively sqrt...

    Text Solution

    |

  14. If the projection of a line segment PQ on the coordinate axes are 3,4,...

    Text Solution

    |

  15. If the projection a of a line segment PQ on the coordinate as are 2,3,...

    Text Solution

    |

  16. The projection of the line segment joining P(2,-1,0) and Q(3,-2,1) on ...

    Text Solution

    |

  17. The ratio in which the line joining (3,4,-7) and (4,2,1) is divided by...

    Text Solution

    |

  18. The points (3,4,-3) divides the line joining the points (2,3,-1) and (...

    Text Solution

    |

  19. The area of triangle whose vertices are (1,2,3), (2,5,-1) and (-1,1,2)...

    Text Solution

    |

  20. If alpha, beta, gamma and delta be four angles of a cyclic qardrilater...

    Text Solution

    |