Home
Class 11
MATHS
If l, m, n are d.c's of vector bar(OP) t...

If `l, m, n` are d.c's of vector `bar(OP)` then maximum value of lmn is

A

`1/sqrt(3)`

B

`1/(2sqrt(3))`

C

`1/(3sqrt(3))`

D

`2/sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|31 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

If, n = 3 , the maximum value of l is:

What is the maximum value of l for n = 4 ?

What is the maximum value of 'l' for 'n' ?

What is maximum value of 'l' for n = 3 ?

The maximum value of l for n=5 is _________

If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value of 'lm+mn+nl' is

If (l,m,n) are the direction cosines of a line, find the maximum value of the product lmn.

If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) are d.c's of two lines then find the value of (l_(1)m_(2)-l_(2)m_(1))^(2)+(m_(1)n_(2)-n_(1)m_(2))^(2)+(n_(1)l_(2)-n_(2)l_(1))^(2)+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^(2)

The n + l value of 3d orbital is

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If bar(r)=3bar(p)+4bar(q)" and "2bar(r)=bar(p)-3bar(q) then

    Text Solution

    |

  2. If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value ...

    Text Solution

    |

  3. If l, m, n are d.c's of vector bar(OP) then maximum value of lmn is

    Text Solution

    |

  4. A vector bar(a) has components a(1), a(2), a(3) in the right handed sy...

    Text Solution

    |

  5. A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian ...

    Text Solution

    |

  6. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

    Text Solution

    |

  7. The position vectors A, B are bar(a), bar(b) respectively. The positio...

    Text Solution

    |

  8. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

    Text Solution

    |

  9. The equation to the altitude of the triangle formed by (1, 1, 1), (1, ...

    Text Solution

    |

  10. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

    Text Solution

    |

  11. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

    Text Solution

    |

  12. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

    Text Solution

    |

  13. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

    Text Solution

    |

  14. A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel...

    Text Solution

    |

  15. The point of intersection of the line passing through bar(i)-2bar(j)-b...

    Text Solution

    |

  16. Statement-I : If two vectors are collinear then those vectors are copl...

    Text Solution

    |

  17. Statement-I : Two non zero, non collinear vectors are linearly indepen...

    Text Solution

    |

  18. The descending order of magnitudes of the vectors A=(i-j)/sqrt(2), B=b...

    Text Solution

    |

  19. If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is...

    Text Solution

    |

  20. Observe the following statements : Assertion (A) : Three vectors are...

    Text Solution

    |