Home
Class 12
MATHS
Let vec a=- hat i- hat k , vec b=- hat ...

Let ` vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 hat j+3 hat k` be three given vectors. If ` vec r` is a vector such that ` vec rxx vec b= vec cxx vec ca n d vec rdot vec a=0,` then find the value of ` vec rdot vec bdot`

A

9

B

6

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
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

Let vec a=2 hat i+ hat k , vec b= hat i+ hat j+ hat ka n d vec c=4 hat i-3 hat j+7 hat k be three vectors. Find vector vec r which satisfies vec rxx vec b= vec cxx vec ba n d vec rdot vec a=0.

If vec a=hat j-hat k and vec c=hat i+hat j+hat k are given vectors,and vec b is such that a vec a*vec b=3 and vec a xxvec b+vec c=0 then is equal to

If vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k , then find the vaue of | vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec a vec bdot vec a vec cdot vec a vec cdot vec a vec cdot vec a| .

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

If vec a = hat i + hat j, vec b = hat i + hat k, vec c = hat k + hat i, a unit vector parallel to vec a + vec b + vec c

If vec a=hat i+hat j+hat hat j and vec b=hat i-2hat j+hat k, then find vector vec c such that vec a*vec c=2 and vec a xxvec c=vec b

If vec a=hat i+hat j+hat k,vec c=hat j-hat k are given vectors,then find vec a vector vec b satisying the equation vec a xxvec b=vec c and vec avec b=3

vec a=hat i+hat j+hat k,vec b=2hat i-hat j+3hat k and vec c=hat i-2hat j+hat k find a unit vector in a direction parallel to vector (2vec a-vec b+3vec c)

If vec a=hat i+2hat j+hat k,vec b=2hat i+hat j and vec c=3hat i-4hat j-5hat k then find a unit vector perpendicular to both of the vector (vec a-vec b) and (vec c-vec b)

If vec a=a_1 hat i+a_2 hat j+a_3 hat k ,\ vec b=b_1 hat i+b_2 hat j+b_3 hat k\ a n d\ vec c=c_1 hat i+c_2 hat j+c_3 hat k , then verify that vec axx( vec b+ vec c)= vec axx vec b+ vec axx vec c

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. If a xx b = c, b xx c = a and a, b,c be moduli of the vectors a, b,c...

    Text Solution

    |

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

    Text Solution

    |

  3. Let a,b, c be three non-coplanar vectors and r be any vector in space ...

    Text Solution

    |

  4. Let a, b, c be unit vectors such that a + b + c = 0 which one of the f...

    Text Solution

    |

  5. Unit vector vecc is inclined at an angle theta to unit vectors ve...

    Text Solution

    |

  6. If hata,hatb,hatc and hatd are unit vectors such that (hata xx hatb). ...

    Text Solution

    |

  7. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  8. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

    Text Solution

    |

  9. Two vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  10. IF a and b are vectors such that | a + b| = sqrt(29) and a xx (2i+3j+4...

    Text Solution

    |

  11. If the vectors a = i-j+2k, b =2i+4j+k and c=lambdai+j+mu k are mutuall...

    Text Solution

    |

  12. Let P ,Q ,R and S be the points on the plane with position vectors ...

    Text Solution

    |

  13. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  14. Two adjacent sides of a parallelogram ABCD are given by vec(AB)=2hati+...

    Text Solution

    |

  15. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  16. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  17. If a, b and c are unit vectors satisfying |a-b|^(2)+|b-c|^(2)+|c-a|^(2...

    Text Solution

    |

  18. Let vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 h...

    Text Solution

    |

  19. If a and b are vectors in space given by a=(hat(i)-2hat(j))/(sqrt(5)) ...

    Text Solution

    |

  20. The vectors vecAB = 3i + 4k and vecAC = 5i -2j + 4k are the sides of a...

    Text Solution

    |