Home
Class 12
MATHS
If [vec(a)xx vec(b),vec(b)xx vec( c ),ve...

If `[vec(a)xx vec(b),vec(b)xx vec( c ),vec( c )xx vec(a)]=lambda[vec(a),vec(b),vec( c )]^(2)` then `lambda` = …………..

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-A)|6 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-B)|4 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (True/False)|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Prove that [vec(a)+vec(b), vec(b)+vec( c ), vec( c )+vec(a)]=2[vec(a),vec(b),vec( c )] .

(vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )) . If vec(a)*vec( c ) ……………

Prove that [vec(a),vec(b),vec( c )+vec(d)]=[vec(a),vec(b),vec( c )]+[vec(a),vec(b),vec(d)] .

For three vectors vec(a),vec(b) and vec( c ),vec(a)+vec(b)+vec( c )=vec(0)|vec(a)|=3,|vec(b)|=4,|vec( c )|=5 , then evaluate 2(vec(a)*vec(b)+vec(b)*vec( c )+vec( c )*vec(a)) .

The vectors vec(a) and vec(b) are not perpendicular. The vectors vec( c ) and vec(d) are such that vec(b)xx vec( c )=vec(b)xx vec(d) and vec(a).vec(d)=0 then vec(d) = ……………

vec(a)=hati+hatj+hatk,vec(b)=hati-hatj+hatk and vec( c )=hati+2hatj-hatk then the value of |{:(vec(a).vec(b),vec(a).vec(b),vec(a).vec( c )),(vec(b).vec(a),vec(b).vec(a),vec(b).vec( c )),(vec( c ).vec(a),vec( c ).vec(b),vec( c ).vec( c )):}| is .............

Let vec(a),vec(b) and vec( c ) be three unit vectors such that vec(a),+vec(b)+vec( c )=vec(0) . If lambda=vec(a)*vec(b)+vec(b)*vec( c )+vec( c )*vec(a) and vec(d)=vec(a)xx vec(b)+vec(b)xx vec( c )+vec( c )xx vec(a) then the ordered pair (lambda, vec(d)) is equal to :

vec(a),vec(b) and vec( c ) are three vector vec(a)ne0 and |vec(a)|=|vec( c )|=1,|vec(b)|=4,|vec(b)xx vec( c )|=sqrt(15) . If vec(b)-2vec( c )=lambda vec(a) then the value of lambda is ………….

For vectors vec(a),vec(b) and vec( c ),vec(a).vec(b)=vec(a).vec( c ) and vec(a)xx vec(b)=vec(a)xx vec( c ),vec(a) ne vec(0) then show that vec(b)=vec( c ) .

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If (a(1),1,1),(1,a(2),1) and (1,1,a(3)) are coplaner (where a(i)ge1,i=...

    Text Solution

    |

  2. If bar(x)=(1,-1,0),bar(y)=(0,1,3) and bar(z)=(2,1,1) then bar(x)xx (ba...

    Text Solution

    |

  3. If [vec(a)xx vec(b),vec(b)xx vec( c ),vec( c )xx vec(a)]=lambda[vec(a)...

    Text Solution

    |

  4. The volume of a parallelepiped with edges vec(OA)=(3,1.4),vec(OB)=(1,2...

    Text Solution

    |

  5. Let vec(a),vec(b) and vec( c ) are three unit vectors such that vec(a)...

    Text Solution

    |

  6. If |bar(a)|=1 and bar(a)xx bar(b)=(1,2,3) then bar(a)xx[bar(a)xx(bar(a...

    Text Solution

    |

  7. If bar(x)xx(bar(y)xx bar(z))=(bar(x)xx bar(y))xx bar(z) then bar(y)xx(...

    Text Solution

    |

  8. Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj. Let the vector vec( ...

    Text Solution

    |

  9. If the unit bar(a),bar(b) and bar( c ) are coplanar then …………..

    Text Solution

    |

  10. If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+b...

    Text Solution

    |

  11. If the vectors 3hati-2hatj-hatk,2hati-3hatj-4hatk,-hati+hatj+2hatk and...

    Text Solution

    |

  12. If the unit vectors bar(a),bar(b) and bar( c ) are coplanar then [2ba...

    Text Solution

    |

  13. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

    Text Solution

    |

  14. bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*...

    Text Solution

    |

  15. bar(d)=lambda(bar(a)xx bar(b))+mu(bar(b)xx bar( c ))+v(bar( c )xx bar(...

    Text Solution

    |

  16. The volume of the tetrahedron whose vertices hati-6hatj+10hatk,-hati-3...

    Text Solution

    |

  17. bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar...

    Text Solution

    |

  18. bar(a)=(1,2,-3),bar(b)=(2,1,-1). The vector bar(mu) is such that bar(a...

    Text Solution

    |

  19. bar(a)=a(1)hati+a(2)hatj+a(3)hatk,bar(b)=b(1)hati+b(2)hatj+b(3)hatk,ba...

    Text Solution

    |

  20. The adjacent sides of the parallelogram are bar(a)=3bar(alpha)-bar(bet...

    Text Solution

    |