Home
Class 12
MATHS
IF bara,barb,barc are three vectors such...

IF `bara,barb,barc` are three vectors such that each is inclined at an angle `pi/3` with the other two and `|bara|=1,|barb|=2,|barc|=3` then the scalar product of the vectors `2bara+3barb-5barc and 4bara-6barb+10barc` is equal to

A

`-334`

B

`188`

C

`-522`

D

`-514`

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 Problem Set (2) (TRUE AND FALSE) |20 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

bara.[barb+barc)xx(bara+barb+barc)] is equal to

If bara,barb,barc are three vectors, then [bara,barb,barc] is not equal to

lf bara,barb,barc are three unit-vectors such that 3bara + 4barb + 5barc = bar0 , then

[[bara-barb, barb-bara, barc-bara]]=

For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(barc+bara)] is equal to:

Let bara,barb and barc three vectors, Then scalar triple product [bara barb barc] is equal to

If bara,barb barc are three vectors such that bara+barb+barc=0 , where abs(bara)=1,abs(barb)=2,abs(barc)=3 then : bara.barb+barb.barc+barc.bara =

If bara,barb,barc are non-zero, non collinear vectors, then the vectors bara-barb+barc,4bara-7barb-barc and 3bara+6barb+6barc are

If bara,barb,barc be any three non-coplanar vectors, then [bara+barb" "barb+barc" "barc+bara]=

If bara is perpendicular to barb and barc,|bara|=2,|barb|=3,|barc|=4 and the angle between barb and barc is (2pi)/(3) . then [bara" "barb" " barc] is equal to

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Let vec(p) and vec(q) be the position vectors of the point P and Q re...

    Text Solution

    |

  2. The vector (1)/(3) (2i - 2j + k) is

    Text Solution

    |

  3. IF bara,barb,barc are three vectors such that each is inclined at an a...

    Text Solution

    |

  4. Find lambda such that the scalar product of the vector vec i + vec j +...

    Text Solution

    |

  5. If a = i + 2j - 3k, b = 3i - j + 2k, then angle between a + b and a - ...

    Text Solution

    |

  6. If a = 2i + 3j + 6k, b=3i - 6j + 2k then a xx b is a vector

    Text Solution

    |

  7. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat...

    Text Solution

    |

  8. Number of vectors ofunit length perpendicular to vectors bara equiv (1...

    Text Solution

    |

  9. A unit vector normal to the plane through the point i,2j,3k is :

    Text Solution

    |

  10. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

    Text Solution

    |

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

    Text Solution

    |

  12. Given a=i+j-k, b=-i+2j+k" and "c=-i+2j-k. A unit vector perpendicular ...

    Text Solution

    |

  13. Find vectors perpendicular to the plane of vectors a=2i-6j+3k" and "b=...

    Text Solution

    |

  14. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  15. The unit vector perpendicular to vector i -j and i + j forming a righ...

    Text Solution

    |

  16. If the position vectors of three points A, B, C are respectively i+j+k...

    Text Solution

    |

  17. A unit vector normal to the plane through the point i,2j,3k is :

    Text Solution

    |

  18. A unit vector making an obtuse angle with x-axis and perpendicular to ...

    Text Solution

    |

  19. The unit vector bot to each of the vector 2i-j+k and 3i+4j-k is

    Text Solution

    |

  20. If A = 2i + 2j-k, B=6i-3j+k,then AxxB will b given by

    Text Solution

    |