Home
Class 12
MATHS
Let baru, barv and barw be vectors such ...

Let `baru, barv` and `barw` be vectors such that `baru + barv + barw = bar0`. If `abs(baru) = 3, abs(barv) = 4` and `abs(barw)= 5`, then : `baru · barv + barv · barw + barw · baru=`

A

47

B

`-25`

C

0

D

25

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

Let bara, barb, barc be three vectors such that baranebar0,baraxxbarb=2(baraxxbarc),abs(bara)=abs(barc)=1,abs(barb)=4 and abs(barbxxbarc)=sqrt(15) . If : barb-2barc=lamdabara, then : lamda=

Let baru,barv,barw be such that abs(baru)=1,abs(barv)=2,abs(barw)=3 . If the projection of barv along baru is equal to that of barw along baru , and barvbotbarw , then : abs(baru-barv+barw)=

If abs(a)=5, abs(b)=4, abs(c)=3 then the value of (a*b+b*c+c*a) given that a+b+c=0

If baru,barv,barw are three non-coplanar vectors, then : (baru+barv-barw).(baru-barv)xx(barv-barw)=

Let bara and barb be two non coplanar unit vectors IF baru=bara-(bara.barb)barb and barv=bara times barb then |barv| is

Three vector a, b and c are such that abs(a)=1, abs(b)=2, abs(c)=4" and "a+b+c=0 . Then the value of 4a.b+3b.c+3c.a is equal to

If bara=hati+2hatj-3hatk,barb=2hati+hatj-hatk and baru is vector satisfying bara times baru=bara times barb and bara.baru=bar0 , then 2|baru|^2 is equal to

Let barV = 2i + j - k and barW = i + 3k If barU is a unit vector, then the max imum value of the scalar triple product [barU barV barW] is

For any two vectors baru and barv prove that (1+|baru|^2)(1+|barv|^2)=|baru+barv+baru times barv|^2 + (|1-u.v|)^2.

MARVEL PUBLICATION-VECTORS-TEST YOUR GRASP
  1. Let baru, barv and barw be vectors such that baru + barv + barw = bar0...

    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

    |