Home
Class 12
MATHS
The projections of a vector on the three...

The projections of a vector on the three coordinate axis are 6, `3` , 2 respectively. The direction cosines of the vector are (1) `6,-3,2` (2) `6/5,(-3)/5,2/5` (3) `6/7,(-3)/7,2/7` (4) `(-6)/7,(-3)/7,2/7`

A

`(6)/(7),(-3)/(7),(2)/(7)`

B

`(-6)/(7),(-3)/(7),(2)/(7)`

C

`6,-3,2`

D

`(6)/(5),(-3)/(5),(2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The projections of a vector on the three coordinate axis are 6,3,2 respectively.The direction cosines of the vector are (A)6,-3,2(B)(6)/(5),(-3)/(5),(2)/(5)(C)(6)/(7),(6)/(7),(2)/(7) (D) (-6)/(7),(-3)/(7),(2)/(7)

If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) (6/2,2/7,3/7) (B) (3/5,5/7,6/7) (C) (1/7,2/7,3/7) (D) none of these

The direction cosines of the ray from (0,0,0) to (2,-3,6) are (A) -2/7,3/7,-6/7 (B) 2/7,37,6/7 (C) -2/7,-3/7,6/7 (D) 2/7,-3/7,6/

The direction cosines of a normal to the plane 2x-3y-6z+14=0 are (A) (2/7,(-3)/7,(-6)/7) (B) ((-2)/7,3/7,6/7) (C) ((-2)/7,(-3)/3,(-6)/7) (D) none of these

Find the angle between the two lines whose direction cosines are: (2)/(3),(-1)/(3),(-2)/(3) and (3)/(7),(2)/(7),(6)/(7) .

(5)/(4)-(7)/(6)-(-(2)/(3))

If the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5), then the coordinates of the other end of the diameter are (-6,7) (b) (6,-7)( c) (6,7)(d)(-6,-7)

Find the area of the pentagon whose vertices are (4, 3), (-5, 6), (0, -7), (3, -6), (-7, -2)

1(2)/(6)+3(2)/(6)+7(5)/(6)

Find the the projection of the line segment joining the points : (I) (2,-3,0) (0,4,5) on the line with direction cosines lt (2)/(7) , (3)/(7), (-6)/(7) gt (ii) (1,2,3), (4,3,1) on the line with direction-ratios lt 3, -6, 2 gt .

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

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

    Text Solution

    |

  3. The projections of a vector on the three coordinate axis are 6, 3 ,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The distance of the point (1,-5,9) from the plane x-y+z=5 measured alo...

    Text Solution

    |

  7. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  8. An equation of a plane parallel to the plane x-2y +2 z-5=0 and at a un...

    Text Solution

    |

  9. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  10. If the lines (x-2)/1=(y-3)/1=(x-4)/(-k) and (x-1)/k=(y-4)/2=(x-5)/1 a...

    Text Solution

    |

  11. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

    Text Solution

    |

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

    Text Solution

    |

  13. let Q be the foot of perpendicular from the origin to the plane 4x-3y+...

    Text Solution

    |

  14. the acute angle between two lines such that the direction cosines l, m...

    Text Solution

    |

  15. If two lines L, and L, in space, are definedby L1={x=lambda y+(sqrtla...

    Text Solution

    |

  16. if the projections of a line segment on the x, y and z-axes in 3-dimen...

    Text Solution

    |

  17. A B C is a triangle and A=(235)dotB=(-1,3,2)a n dC=(lambda,5,mu)dot If...

    Text Solution

    |

  18. the equation of a plane through the line of intersection the planes x+...

    Text Solution

    |

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

    Text Solution

    |

  20. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |