Home
Class 12
MATHS
The direction cosine of vector 3 hati+4...

The direction cosine of vector `3 hati+4hatj+5hatk` in the direction of X-axis is

A

`(1)/(sqrt(2))`

B

`(4)/(5sqrt(2))`

C

`(3)/(5sqrt(2))`

D

`(3)/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER MHT-CET 2016

    NIKITA PUBLICATION|Exercise MCQs|50 Videos

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

The direction cosines of vector a=3hati+4hatj+5hatk in the direction of positive axis of X, is

The direction cosines of the vector 3hati-4hatj+5hatk are

The direction cosines of the vector 3hati-4hatj+5hatk are

The direction cosines of the vector 3hati+4hatk are

The direction cosines of the vector 2hati+2hatj-hatk are

The direction cosines of a vector hati+hatj+ sqrt2hatk are

The direction cosines of hati + hatj + hatk are

Find the direction cosines of the vector 2hati+2hatj-hatk

The direction cosines of a vector hati+hatj+sqrt(2) hatk are:-

Find the direction cosines of the vector hati+2hatj+3hatk .

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Which of the triplet can not represent direction cosines of a line ?

    Text Solution

    |

  2. If P-=(3, 4, -12), then the direction cosines of bar(OP) are

    Text Solution

    |

  3. The direction cosine of vector 3 hati+4hatj+5hatk in the direction of...

    Text Solution

    |

  4. If the vector 2 hati-3hatj+7 hatk makes angles alpha, beta, gamma with...

    Text Solution

    |

  5. The position vectors of points A and B are hati+3hatj-7 hatk and 5hati...

    Text Solution

    |

  6. The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-...

    Text Solution

    |

  7. The line joining the points -2,1,-8)a n d(a ,b ,c) is parallel to t...

    Text Solution

    |

  8. If the line segment joining the points A(7, p, 2) and B(q, -2, 5) be ...

    Text Solution

    |

  9. The line joining the points (4, 1, 2) and (5, p, 0) is parallel to the...

    Text Solution

    |

  10. If A(-1, 2, -3), B(5, 0, -6) and C(0, 4, -1) are the vertices of tria...

    Text Solution

    |

  11. A line passes through the points (3, 1, 2) and (5, -1, 1) . Then the ...

    Text Solution

    |

  12. A line passes through the point (3, 1,2) and (5,-1,1), find the direct...

    Text Solution

    |

  13. Direction cosines of the line passing through the points A(-4, 2, 3) a...

    Text Solution

    |

  14. Direction cosines of the line passing through the points A(-4, 2, 3) a...

    Text Solution

    |

  15. If a line has the direction ratios 4, -12, 18, then its direction cos...

    Text Solution

    |

  16. If a line has the direction ratios -1, 2, 3, then its direction cosin...

    Text Solution

    |

  17. The direction cosines of a line whose direction ratios are 1, -2, 3 ar...

    Text Solution

    |

  18. If |bar r|=9 and bar r is equally inclined to the co-ordinate axes, th...

    Text Solution

    |

  19. If |baru|=3 and baru is equally inclined to the unit vectors hati, hat...

    Text Solution

    |

  20. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

    Text Solution

    |