Home
Class 12
MATHS
The number of vectors of unit length ...

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

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

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Self Assessment Test (Assertion/Reason )|1 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Self Assessment Test (Comprehension)|3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (4) (MULTIPLE CHOICE QUESTIONS) |8 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 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) ?

Two vectors vec(a) and vec(b) are perpendicular to each other if vec(a).vec(b)=0 .

If vec a,vec b,vec c are mutually perpendicular unit vectors,find |2vec a+vec b+vec c|

If vec c is a unit vector perpendicular to the vectors vec a\ a n d\ vec b write another unit vector perpendicular vec a\ a n d\ vec bdot

For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). vecbdot

Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b=(1,-2,3) and satisfies the condition vec cdot( hat i+2 hat j-7 hat k)=10. Then vector vec c is equal to a.(7,5,1) b. -7,-5,-1 c. 1,1,-1 d. none of these

Let vec a,vec b,vec c be three non-zero vectors such that vec c is a unit vector perpendicular to both vec a and vec b. If the between vec a and vec b is pi/6 prove that [vec avec bvec c]^(2)=(1)/(4)|vec a|^(2)|vec b|^(2)

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. a and b are the position vectors of the points A and B with respect to...

    Text Solution

    |

  2. If A = 2i + 2j-k, B = 6i-3j+2k, then A xx B will be given by

    Text Solution

    |

  3. The number of vectors of unit length perpendicular to vectors vec ...

    Text Solution

    |

  4. A vector a has components 2p and 1 with respect to a rectangular cart...

    Text Solution

    |

  5. If |vecalpha + vecbeta| = |vecalpha - vecbeta|, then

    Text Solution

    |

  6. If veca and vecb are two vectors such that veca.vecb = 0 and veca xx v...

    Text Solution

    |

  7. Let veca, vecb, vecc be three non-coplanar vectors and vecp,vecq,vecr ...

    Text Solution

    |

  8. The components of a vector veca along and perpendicular to a non-zero ...

    Text Solution

    |

  9. For any three vectors a, b, c (a-b).{(b-c) xx (c-a)} = 2a.(bxxc). ...

    Text Solution

    |

  10. If a = 4i + 6j and b = 3j+4k, then the vector form of component of a a...

    Text Solution

    |

  11. A unit vector perpendicular to the vector 4i-j+3k and -2i+j-2k is

    Text Solution

    |

  12. The unit vector perpendicular to the two vectors i-j and i+2j, and per...

    Text Solution

    |

  13. If u = i xx (a xx i), + j xx (a xx j) + k xx(a xx k), then

    Text Solution

    |

  14. The volume of a parallelopiped whose sides are given by vecOA =2i-3j,v...

    Text Solution

    |

  15. If alpha = 2i + 3j - k, beta = -i + 2j-4k, gamma = i+j+k then the valu...

    Text Solution

    |

  16. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

    Text Solution

    |

  17. If the vectors vec c , vec a=x hat i+y hat j+z hat ka n d vec b= hat ...

    Text Solution

    |

  18. If veca lies in the plane of vectors vecb and vecc, then which of the ...

    Text Solution

    |

  19. If a xx b = c, b xx c = a and a, b,c be moduli of the vectors a, b,c...

    Text Solution

    |

  20. Let a-i+j and b=2i-k.The point of intersection of the lines r times a=...

    Text Solution

    |