Home
Class 12
MATHS
If (veca xx vecb) xx (vec c xx vecd)=h ...

If `(veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd`, where `veca, vecb` are non-collinear and `vec c, vec d` are also non-collinear then :

A

`pi^(2)`

B

`(5pi^(2))/(4)`

C

`(35pi^(2))/(4)`

D

`(37pi^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|18 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|3 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|16 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Let vecr=sinx (veca xx vecb)+cosy(vecb xx vec c)+2(vec c xx veca) , where veca, vecb are non-collinear and vec c, vecd are also non-collinear then :

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

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

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

If (veca xx vecb)xx vec c=veca xx (vecb xx vec c) , where veca, vecb and vec c are any three vectors such that veca*vecb ne 0, vecb*vec c ne 0 , then veca and vec c are :

It is given that : vec x = (vec b xx vec c)/([veca vec b vec c]) ; vecy=(vec c vec a)/([veca vecb vecc]) ; vecz=(veca xx vecb)/([veca vecb vecc]) where a, b, c are non-coplanar vectors; show that x, y, z also form a non-coplanar system. Find the value of vecx*(veca+vecb)+vecy*(vecb+vecc)+vecz(vecc+veca) .

If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc) , where veca, vecb and vecc are any three vectors such that veca.vecb ne 0, vecb.vecc ne 0 , then veca and vecc are:

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(veccxxvecd)=1 and veca.vecc=1/2 then (A) veca,vecb,vecc are non coplanar (B) vecb,vecc, vecd are non coplanar (C) vecb, vecd are non paralel (D) veca, vecd are paralel and vecb, vecc are parallel

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If hati xx [ (veca-hatj) xxhati]+ hatj xx [(veca - hatk)xx hatj] +hatk...

    Text Solution

    |

  6. The value of expression [veca xx vecb" "vec c xx vecd" " vece xx vecf...

    Text Solution

    |

  7. If veca,vecb,vecc & vecd are position vector of point A,B,C and D resp...

    Text Solution

    |

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

    Text Solution

    |

  9. Let hata and hatc are unit vectors and |vecb|=4. If the angle between...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The volume of a right triangular prism ABCA1B1C1 is equal to 3. If the...

    Text Solution

    |

  15. If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Which of the following statement(s) is/are incorrect ?

    Text Solution

    |

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

    Text Solution

    |