Home
Class 12
MATHS
If veca=1/(sqrt(10))(3hati+hatk),vecb=1/...

If `veca=1/(sqrt(10))(3hati+hatk),vecb=1/7(2hati+3hatj-6hatk)`, then the value of `(2veca-vecb).{(vecaxxvecb)xx(veca+2vecb)}` is

A

`-3`

B

5

C

3

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

Similar Questions

Explore conceptually related problems

If veca and vecb are vectors in space given by veca=(hati-2hatj)/(sqrt(5)) vecb=(2hati+hatj+3hatk)/(sqrt(14)) then the value of (2veca+vecb).[(vecaxxvecb)xx(veca-2vecb)] , is

If veca=(3hati-hatj)/(sqrt(10)) and vecb=(hati+3hatj+hatk)/(sqrt(11)), then the value of (2veca+vecb)".[(veca xx vecb)xx(veca-3vecb)]

If veca = hati+hatj-2hatk, vecb=2hati-3hatj+hatk the value of (2veca+3vecb) . (2vecbxx3veca) is :

If veca and vecb are vectors in space given by veca= (hati-2hatj)/sqrt5and vecb= (2hati + hatj + 3hatk)/sqrt14 then find the value of (2veca + vecb) . [(vecaxxvecb) xx (veca- 2vecb)]

If vecA=9hati-7hatj+5hatk and vecB=3hati-2hatj-6hatk then the value of (vecA+vecB).(vecA-vecB) is

If veca=hati+hatj+hatk , vecb=2hati+hatj-hatk and vecc=4hati+3hatj+hatk then value of ((veca+vecb)xx(veca -(veca-vecb)xxvecb)))xxvecc is

If veca=hati+hatj+hatk, vecb=hati-hatj+hatk, vec c=hati+2hatj-hatk , then the value of |(veca*veca,veca*vecb, veca*vecc),(vecb*veca, vecb *vecb,vecb*vecc),(vec c*veca, vec c*vec b,vec c*vec c)| is equal to :

If veca=3hati+4hatj-5hatk and vecb=7hati-3hatj+6hatk find a unity vector along (veca+vecb)xx(veca-vecb) .

BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
  1. If veca=1/(sqrt(10))(3hati+hatk),vecb=1/7(2hati+3hatj-6hatk), then the...

    Text Solution

    |

  2. The unit vector perpendicular to the vectors hati -hatj andhati + hatj...

    Text Solution

    |

  3. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  4. If |a|= 2, |b|=5 and |a xx b|=8, then |a.b| is equal to

    Text Solution

    |

  5. The work done by the force 4hati-3hatj +2hatk in moving a particle al...

    Text Solution

    |

  6. If a .(b xx c) = 0, then the correct statement is

    Text Solution

    |

  7. If 2hati+hatj-hatk & hati-4hat j+lambda hatk are perpendicular to each...

    Text Solution

    |

  8. If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to

    Text Solution

    |

  9. The vector r is equal to

    Text Solution

    |

  10. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  11. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

    Text Solution

    |

  12. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  13. If the position vectors of A, B and C are respectively 2hati-hatj+hatk...

    Text Solution

    |

  14. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

    Text Solution

    |

  15. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  16. Let a, b, c be three non-coplanar vectors and p, q, r be vectors defin...

    Text Solution

    |

  17. If hata, hatb and hatc are mutually perpendicular unit vectors then |...

    Text Solution

    |

  18. The projection of the vector 2hati+hatj -3hatk on the vector hati-2hat...

    Text Solution

    |

  19. If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle betwee...

    Text Solution

    |

  20. If the vectors alpha hati+hatj+hatk,hati+betahatj+hatk and hati+hatj+g...

    Text Solution

    |

  21. If a vector alpha lie in the plane of beta and gamma , then which is...

    Text Solution

    |