Home
Class 12
MATHS
If |bar r|=9 and bar r is equally inclin...

If `|bar r|=9` and `bar r` is equally inclined to the co-ordinate axes, then `bar r=`

A

`pm 3(hati+hatj+hatk)`

B

`pm9(hati+hatj+hatk)`

C

`pm sqrt(3)(hati+hatj+hatk)`

D

`pm3 sqrt(3)(hati+hatj+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate axes, then vector bar(u) =

Suppose bar(a), bar(b), bar(c) be three unit vectors such that |bar(a)-bar(b)|^(2)+|bar(b)-bar(c)|^(2)+|bar(c)-bar(a)|^(2) is equal to 3 . If bar(a), bar(b), bar(c) are equally inclined to each other at an angle:

If bar(a) and bar(b) any two non-collinear vectors lying in the same plane, then prove that any vector bar(r) coplanar with them can be uniquely expressed as bar(r)=t_(1)bar(a)+t_(2)bar(b) , where t_(1)andt_(2) are scalars.

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) on is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) then the value of |bar(a)+bar(b)-bar(c)| is

If bar(a)=b,c in R

If the moduli of bar(a) and bar(b) are equal and angle between them is 120^(@) and bar(a)*bar(b)=-8 , then |bar(a)| is equal to

Let the vectors bar(a),bar(b),bar(c) be such that |bar(a)|=2,|bar(b)|=4 and |bar(c)|=4 . If the projection of bar(b) on bar(a) is equal to the projection of bar(c) on bar(a) and bar(b) is perpendicular to bar(c) ,then the value of |bar(a)+bar(b)-bar(c)| is

[bar(a)" "bar(b)" "bar(a)xxbarb] is equal to

Let bar(u),bar(v),bar(w) be such that |bar(u)|=1, |bar(v)|=2, |bar(w)|=3 If the projection of bar(v) along bar(u) is equal to that of bar(w) along bar(u) and bar(v),bar(w) are perpendicular then |bar(u)-bar(v)+bar(w)|=

NIKITA PUBLICATION-THREE DIMENSIONAL GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. If a line has the direction ratios -1, 2, 3, then its direction cosin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If vector r wiith dc's l,m,n is equally inclined to the coordinate axe...

    Text Solution

    |

  7. The number of lines which are equally inclined to the axes is :

    Text Solution

    |

  8. The direction ratios of AB are -2,2,1. If A -= (4,1,5) and l(AB) = 6 u...

    Text Solution

    |

  9. If the direction cosines of bar(AB) are (-2)/(sqrt(17)), (3)/(sqrt(17)...

    Text Solution

    |

  10. If OP = 21 and direction cosines of bar(OP) are (2)/(7),(6)/(7), (-3)...

    Text Solution

    |

  11. The ratio in which the line joining points (2, 4, 5) and (3, 5, -4) di...

    Text Solution

    |

  12. XY-plane divides the line joining the points (2, 4, 5) and (-4, 3, -...

    Text Solution

    |

  13. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  14. उस बिंदु के निर्देशांक ज्ञात कीजिए जहाँ बिंदुओं A(3, 4, 1 ) और B(...

    Text Solution

    |

  15. The co-ordinate of the point in which the line joining the points (3, ...

    Text Solution

    |

  16. The point which divides the line joining the points (2, 4, 5) and (3, ...

    Text Solution

    |

  17. The distance of point (1, 2, 3) from X-axis is

    Text Solution

    |

  18. Perpendicular distance of point (3, 4, 5) from Y-axis is

    Text Solution

    |

  19. The points (2, -1, -1), (4, -3, 0) and (0, 1, -2) are

    Text Solution

    |

  20. The points (-7, 4, -2), (-2, 1, 0) and (3, -2, 2) are

    Text Solution

    |