Home
Class 12
MATHS
If veca=2hati+3hatj+hatk, vecb=hati-2hat...

If `veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk` and `vecc=-3hati+hatj+2hatk`, then `[veca vecb vecc]=`

A

`30`

B

`-30`

C

`15`

D

`-15`

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

  • DETERMINANTS

    CENGAGE|Exercise All Questions|268 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|7 Videos

Similar Questions

Explore conceptually related problems

veca=2hati+3hatj-hatk vecb=hati-hatj-m hatk vec c= -hati+2hatj+hatk and [veca, vecb, vec c]=8 then m is :

If veca=hati-2hatj+3hatk, vecb=2hati+hatj-2hatk, vec c=3hati+2hatj+hatk , find (veca xx vecb)xxvec c

If veca=hati-2hatj+3hatk, vecb=2hati+hatj-2hatk, vec c=3hati+2hatj+hatk , find veca xx (vecb xx vec c)

If veca=-2hati+3hatj-2hatk, vecb=3hati-hatj+3hatk, vec c=2hati-5hatj+hatk find (veca xx vecb) xx vec c and veca xx (vecb xx vec c) . State whether they are equal.

If veca=hati+2hatj+3hatk, vecb=2hati-hatj+hatk, vec c=3hati+2hatj+hatk and veca xx (vecb xx vec c)=l veca +m vecb + n vec c , find the value of l, m, n.

If veca=2 hati - hatj+2hatk, vecb=hati+hatj+2hatk, vec c= 3hati-hatj+hatk Find (veca xx vecb) vec c and veca (vecb xx vec c) Are they equal?

Statement 1: vecA=2hati + 3hatj + 6hatk , vecB=hati + hatj - 2hatk and vecC=hati + 2hatj + hatk then |vecAxx (vecAxx(vecAxxvecB)).vecC|= 243 Statement 2: |vecAxx(vecAxx(vecAxxvecB)).vecC|=|vecA|^(2)|[vecA vecB vecC]|

Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj - hatk be three vectors. A vectors vecv in the plane of veca and vecb , whose projection on vecc is 1/sqrt3 is given by

If veca=-2hati+3hatj-2hatk , vecb=3hati-hatj+3hatk , vecc=2hati-5hatj+hatk find (vecaxxvecb)xxvecc and vecaxx(vecbxxvecc) . State whether they are equal.

If veca=hati-2hatj+3hatk, vecb=2hati+hatj-2hatk, vec c=3hati+2hatj+hatk , find veca*(vecb xx vec c) .

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Sholve the simultasneous vector equations for vecx aedn vecy: vecx+vec...

    Text Solution

    |

  2. The condition for equations vec rxx vec a= vec ba n d vec rxx vec c...

    Text Solution

    |

  3. If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2h...

    Text Solution

    |

  4. If veca=2hati + hatj+ hatk, vecb= hati+ 2hatj + 2hatk,vecc = hati+ hat...

    Text Solution

    |

  5. Let (veca (x) = (sin x) hati+ (cos x) hatj and vecb(x) = (cos 2x) hati...

    Text Solution

    |

  6. For any vectors veca and vecb, (veca xx hati) + (vecb xx hati) + ( vec...

    Text Solution

    |

  7. If veca,vecb and vecc are three non coplanar vectors and vecr is any v...

    Text Solution

    |

  8. If vecP = (vecbxxvecc)/([vecavecbvecc]),vecq=(veccxxveca)/([veca vecb ...

    Text Solution

    |

  9. A (veca), B (vecb) and C (vecc) are the vertices of triangle ABC and R...

    Text Solution

    |

  10. If veca , vecb and vecc are non- coplanar vectors and veca xx vecc is ...

    Text Solution

    |

  11. If V be the volume of a tetrahedron and V ' be the volume of another...

    Text Solution

    |

  12. [(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxv...

    Text Solution

    |

  13. If vecr=x(1)(vecaxx vecb) + x(2) (vecb xxvecc) + x(3)(vecc xxveca) and...

    Text Solution

    |

  14. If the vectors veca and vecb are perpendicular to each other then a ve...

    Text Solution

    |

  15. If veca' = hati + hatj, vecb'= hati - hatj + 2hatk nad vecc' = 2hati -...

    Text Solution

    |

  16. If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in th...

    Text Solution

    |

  17. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

    Text Solution

    |

  18. Differentiate y=cos^4 4x

    Text Solution

    |

  19. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

    Text Solution

    |

  20. If vectors veca and vecb are two adjacent sides of parallelograsm then...

    Text Solution

    |