Home
Class 12
MATHS
[vecaxx vecb " " vecc xx vecd " " vecex...

`[vecaxx vecb " " vecc xx vecd " " vecexx vecf]` is equal to

A

`[veca vecb vecd] [vec c vece vecf]-[veca vecb vec c][vecd vece vecf]`

B

`[veca vecb vece][vecf vec c vecd]-[veca vecb vecf][vece vec c vecd]`

C

`[vec c vecd veca][vecb vece vecf]-[vec c vecd vecb][veca vece vecf]`

D

`[vecb vec c vecd][veca vece vecf]-[vecbvec c vecf][veca vece vecd]`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|16 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

If veca is parallel to vecb xx vecc, then (veca xx vecb) .(veca xx vecc) is equal to (a) |veca|^(2)(vecb.vecc) (b) |vecb|^(2)(veca .vecc) (c) |vecc|^(2)(veca.vecb) (d) none of these

[(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxveca) xx (veca xx vecb)] is equal to ( where veca, vecb and vecc are non - zero non- colanar vectors). (a) [veca vecb vecc] ^(2) (b)[veca vecb vecc] ^(3) (c)[veca vecb vecc] ^(4) (d)[veca vecb vecc]

If vectors, vecb, vecc and vecd are not coplanar, the prove that vector (veca xx vecb) xx (vecc xx vecd) + ( veca xx vecc) xx (vecd xx vecb) + (veca xx vecd) xx (vecb xx vecc) is parallel to veca .

If vecA,vecB,vecC are non-coplanar vectors than ( vecA . vecB xx vecC )/(vecCxxvecA.vecB)+(vecB. vecA xx vecC)/( vecC. vecA xx vecB) is equal to

veca,vecb,vecc are three non-coplanar such that veca + vecb + vecc = alpha vecd and vecb + vecc + vecd = beta veca , then veca + vecb + vecc + vecd is equal to:

If (veca xx vecb) xx (vecc xx vecd) . (veca xx vecd) =0 then which of the following may be true ?

If veca , vecb and vecc are non- coplanar vectors and veca xx vecc is perpendicular to veca xx (vecb xx vecc) , then the value of [ veca xx ( vecb xx vecc)] xx vecc is equal to

If veca, vecb, vecc are the unit vectors such that veca + 2vecb + 2vecc=0 , then |veca xx vecc| is equal to:

If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc + vecc xx veca=

Let vec r xx veca = vec b xx veca and vecc vecr=0 , where veca.vecc ne 0 , then veca.vecc(vecr xx vecb)+(vecb.vecc)(veca xx vecr) is equal to __________.

VIKAS GUPTA (BLACK BOOK) ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If equation of three lines are : (x)/(1)=(y)/(2)=(z)/(3), (x)/(2)=...

    Text Solution

    |

  2. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

    Text Solution

    |

  3. Consider the lines: L1:(x-2)/1=(y-1)/7=(z+2)/-5, L2:x-4=y+3=-z Then wh...

    Text Solution

    |

  4. Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...

    Text Solution

    |

  5. The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...

    Text Solution

    |

  6. If hati xx[(veca-hatj)xxhati]xx[(veca-hatk)xxhatj]+veckxx[(veca-veci)x...

    Text Solution

    |

  7. [vecaxx vecb " " vecc xx vecd " " vecexx vecf] is equal to

    Text Solution

    |

  8. If vec a ,vec b,vec c and vec d are the position vectors of the point...

    Text Solution

    |

  9. If OAB is a tetrahedron with edges and hatp, hatq, hatr are unit vect...

    Text Solution

    |

  10. veca and vecc are unit vectors and |vecb|=4 the angle between veca and...

    Text Solution

    |

  11. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

    Text Solution

    |

  12. Let vecr=(veca xx vecb)sinx+(vecb xx vec c)cosy+2(vec c xx vec a), whe...

    Text Solution

    |

  13. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  14. Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...

    Text Solution

    |

  15. The volume of a right triangular prism ABCA(1)B(1)C(1) is equal to 3 c...

    Text Solution

    |

  16. If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc=...

    Text Solution

    |

  17. If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...

    Text Solution

    |

  18. Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...

    Text Solution

    |

  19. The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...

    Text Solution

    |

  20. The lines with vector equations are, vecr(1)=3hati+6hatj+lambda(-4hat...

    Text Solution

    |