Home
Class 12
MATHS
Number of vectors ofunit length perpendi...

Number of vectors ofunit length perpendicular to vectors `bara equiv (1, 1 , 0)` and `barb equiv (0, 1 , 1)` is

A

one

B

two

C

three

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
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

The number of vectors of unit length perpendicular to vectors vec a=(1,1,0) and vec b=(0,1,1) is a.one b. two c.three d.infinite

What is the number of vectors of length 5 units, perpendicular to the vectors vec(a) = (1.1.0) and vec(b)= (0.1.1) ?

Find a unit vector perpendicular to the plane determined by the points (1,-1,2),(2,0,-1) and (0,2,1)

Let bara be a unit vector perpendicular to unit vectors barb and barc inclined at an angle a. then barb times barc is

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. Number of vectors ofunit length perpendicular to vectors bara equiv (1...

    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

    |