Home
Class 12
MATHS
If the vectors i +j , i - j and li + mj...

If the vectors i +j , i - j and li + mj + nk are coplanar, then:

A

I=m =n = 1

B

l=1 and m, n are any scalars

C

n=0 and l, m are any scalars

D

m=0, n = 1 and l are any scalar

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MARVEL PUBLICATION|Exercise PREVIOUS YEARS MHT-CET EXAM QUESTIONS|10 Videos
  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

Similar Questions

Explore conceptually related problems

If vectors i + j + k,i - j+k and 2i + 3j + mk are coplanar, then m =

If vectors 2i - j + k, i + 2j - 3k and 3i + mj + 5k are coplanar, then m is a root of the equation

If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1 are coplanar, then : pqr- (p + q + r) =…..

If the vectors i-j+k,2i+j-k,lambda i-j+lambda k are coplanar,then

Vectors i + j + (m + 1) k, i + j + mk and i - j + mk are coplaner for

The sum of the distinct real values of mu for which the vectors mu i+j+k , i+mu j+k , i+j+mu k are coplanar is

The value of alpha for which the vectors 2i-j+k, i+2j+alphak" and "3i-4j+5k are coplanar is

If bara = mi + 2j - 3k and barb = 3i - 2j + nk are collinear, then (m, n) equiv

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. If the vectors i +j , i - j and li + mj + nk are coplanar, then:

    Text Solution

    |

  2. If ABCDEF is a regular hexagon , then bar(AB) + bar(AC) + bar(AE) + ...

    Text Solution

    |

  3. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

    Text Solution

    |

  4. If alpha,beta ,gamma are direction angles of a line , then cos 2alpha ...

    Text Solution

    |

  5. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

    Text Solution

    |

  6. If vectors 2i-j+k,i+2j-3k and 3i+aj+5k are coplaner, then a=

    Text Solution

    |

  7. If bara.i = 4, then bara.[j xx (2j - 3k)]=

    Text Solution

    |

  8. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  9. If veca vecb are non zero and non collinear vectors, then [(veca, vecb...

    Text Solution

    |

  10. If bara,barb,barc are non-coplaner vectors and barp=(barbxxbarc)/([bar...

    Text Solution

    |

  11. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

    Text Solution

    |

  12. If the volumes of parallelepiped with coterminus edges -pj+5k,i-j+qk a...

    Text Solution

    |

  13. A line makes 45^(@) with OX, and equal angles with OY and OZ. Then the...

    Text Solution

    |

  14. If the points with position vectors -i + 3j + 2k , -4i + 2j - 2k and 5...

    Text Solution

    |

  15. If bara.barb=barb.barc=barc.bara=0 and bara,barb,barc form a right-han...

    Text Solution

    |

  16. If bara,barb,barc are non-coplaner vectors, then (bara.(barbxxbarc))/...

    Text Solution

    |

  17. i · (j xx k) + j · (k xx i) + k · (i xx j ) =

    Text Solution

    |

  18. If bara=2i+3j-k,barb=-i+2j-4k and barc=i+j+k, then (baraxxbarb).(barax...

    Text Solution

    |

  19. If vectors 2hati-hatj+hatk ,hati+2hatj-3hatk and 3hati+mhatj+5hatk are...

    Text Solution

    |

  20. 2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

    Text Solution

    |

  21. If vectors bara,barb,barc are non-coplaner, then ([bara+2barb barb+2...

    Text Solution

    |