Home
Class 12
MATHS
If the direction ratios of a vector are ...

If the direction ratios of a vector are 6,2,3, then its direction cosines are

A

6/7,2/7,3/7

B

1/7, 2/7, 3/7

C

6/7, 1/7, 3/7

D

6/7, 2/7,1/7

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

If the direction cosines of a line are k,k,k then

If a line has the direction ratios -18, 12, -4, then what are its direction cosines?

Write the direction cosines of z-axis.

Write the direction cosines of x-axis.

IF a line has direction rations 2,-1,-2 then determine its direction cosines .

If a line has direction ratios 2,-1,-2 then determine its direction cosines.

If the projection a of a line segment PQ on the coordinate as are 2,3,6, then its direction cosines are

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

Write the direction cosines of y - axis.

If alpha, beta, gamma are the angles that a line makes with the positive direction of x, y, z axis respectively, then the direction cosines of the line are

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

    Text Solution

    |

  2. A set of direction cosines of the vector which is equally inclined to ...

    Text Solution

    |

  3. If the direction ratios of a vector are 6,2,3, then its direction cosi...

    Text Solution

    |

  4. A vector makes angles 45^(o) and 60^(o) with positive axes of x and y ...

    Text Solution

    |

  5. If alpha, beta, gamma are the angle made by a vector with the coordina...

    Text Solution

    |

  6. If alpha, beta, gamma are the angle made by a vector with the coordina...

    Text Solution

    |

  7. If vec a = -2i+3j, vec b = i+j+k, vec c = lambda i + 4j +2k are the th...

    Text Solution

    |

  8. (vec a - vec b).[(vec b - vec c) xx (vec c - vec a)] =

    Text Solution

    |

  9. With usual notation [i-j j-k k-i] =

    Text Solution

    |

  10. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |

  11. The length of the vector i-2j+2k is

    Text Solution

    |

  12. If vec OA = i-2j+k, vec OB = 2i+2j-k, then vec BA =

    Text Solution

    |

  13. If vec a = i-j+2k, vec b = 2i+3j+k and vec c = i-k then the magnitude ...

    Text Solution

    |

  14. If A, B, C and D aare four points and vec AB = vec DC then vec AC + ve...

    Text Solution

    |

  15. If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

    Text Solution

    |

  16. If vec a and vec b are unit vectors then vec a + vec b is

    Text Solution

    |

  17. If vec a = i+j-2k, vec b = -i+2j+k and vec c = i-2j+2k then a unit vec...

    Text Solution

    |

  18. If vec OA = i-j and vec OB = j-k, the unit vector perpendicular to the...

    Text Solution

    |

  19. If I,j are unit vectors and I xx j = k then (i+j) xx (j-i) =

    Text Solution

    |

  20. If vec a = 3i-j+2k, vec b = 2i+j-k, then vec a xx (vec a . vec b) is

    Text Solution

    |