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

p = [c b d]

B

p = [a c d]

C

p = [a b d]

D

p = [a b c]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Level-2 Single Correct Answer Type Questions)|32 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept -Based Single Correct Answer Type Questions)|10 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 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

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-1 Single Correct Answer Type Questions)
  1. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  2. If the position vectors of three consecutive vertices of any parallelo...

    Text Solution

    |

  3. The volume of the parallelopiped whose sides are given by overset(...

    Text Solution

    |

  4. The value of abs(a times i)^(2)+abs(a times j)^(2)+abs(a times k)^(2) ...

    Text Solution

    |

  5. If a, b and c are any three vectors, then a times (b times c)=(a times...

    Text Solution

    |

  6. ixx(a times i)+j times(a times j)+k times(a times k) is always equal t...

    Text Solution

    |

  7. The value of [a times b, b times c, c times a] is

    Text Solution

    |

  8. Given vectors a = (3, -1, 5) and b = (1, 2, -3). A vector c which is p...

    Text Solution

    |

  9. Area of the parallelogram on the vectors a + 3b and 3a + b if abs(a)=a...

    Text Solution

    |

  10. If a=x""i+5j+7k, b=i+j-k, c=i+2j+2k are coplanar then the value of x i...

    Text Solution

    |

  11. If a*(b times c)=3 then

    Text Solution

    |

  12. Let a=2i+2j+k and b be another vector such that a*b=14" and "a times b...

    Text Solution

    |

  13. ABCDEF is a regular hexagon with centre a the origin such that vec(AB)...

    Text Solution

    |

  14. A non zero vector veca is parallel to the kine of intersection of the ...

    Text Solution

    |

  15. Let P ,Q ,R and S be the points on the plane with position vectors ...

    Text Solution

    |

  16. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  17. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  18. If a is a non-zero real number, then prove that the vectors vecalp...

    Text Solution

    |

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

    Text Solution

    |

  20. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |