Home
Class 12
MATHS
The scalar triple product [(veca+vecb-ve...

The scalar triple product `[(veca+vecb-vecc,vecb+vecc-veca,vecc+veca-vecb)]` is equal to

A

0

B

`[vecavecb vec c]`

C

`2[veca vecb vec c]`

D

`4[veca vecb vec c]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|21 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|18 Videos

  • TRIGONOMETRIC EQUATIONS

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

Similar Questions

Explore conceptually related problems

If veca, vecb, vecc are any three non coplanar vectors, then [(veca+vecb+vecc, veca-vecc, veca-vecb)] is equal to

For three non - zero vectors veca, vecb and vecc , if [(veca, vecb , vecc)]=4 , then [(vecaxx(vecb+2vecc), vecbxx(vecc-3veca), vecc xx(3veca+vecb))] is equal to

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. [veca+vecb vecb+vecc vecc+veca] is equal to (A) 2[veca vecb vecc] (B) 3[veca,vecb,vecc] (C) [veca,vecb,vecc] (D) 0

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. If veca,vecb,vecc are coplanar then [vecb+vecc vecc+veca veca+vecb=] (A) 1 (B) -1 (C) 0 (D) none of these

veca.(vecbxxvecc) is called the scalar triple product of veca,vecb,vecc and is denoted by [veca vecb vecc]. If veca, vecb, vecc are cyclically permuted the vaslue of the scalar triple product remasin the same. In a scalar triple product, interchange of two vectors changes the sign of scalar triple product but not the magnitude. in scalar triple product the the position of the dot and cross can be interchanged privided the cyclic order of vectors is preserved. Also the scaslar triple product is ZERO if any two vectors are equal or parallel. (A) [vecb-vecc vecc-veca veca-vecb] (B) [veca vecb vecc] (C) 0 (D) none of these

If veca, vecb,vecc are three on-coplanar vectors such that veca xx vecb=vecc,vecb xx vecc=veca,vecc xx veca=vecb , then the value of |veca|+|vecb|+|vecc| is

If veca, vecb and vecc are unit coplanar vectors , then the scalar triple porduct [2 veca -vecb" " 2vecb - vecc " "2vecc-veca] is

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

If veca, vecb, vecc are non-null non coplanar vectors, then [(veca-2vecb+vecc, vecb-2vecc+veca, vecc-2veca+vecb)]=

VIKAS GUPTA (BLACK BOOK)-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-5 : Subjective Type Problems
  1. The scalar triple product [(veca+vecb-vecc,vecb+vecc-veca,vecc+veca-ve...

    Text Solution

    |

  2. A straight line L intersects perpendicularly both the lines : (x+2)/...

    Text Solution

    |

  3. If hata, hatb and hatc are non-coplanar unti vectors such that [hata ...

    Text Solution

    |

  4. Let OA, OB, OC be coterminous edges of a cubboid. If l, m, n be the sh...

    Text Solution

    |

  5. Let OABC be a tetrahedron whose edges are of unit length. If vec OA = ...

    Text Solution

    |

  6. Let vec v(0) be a fixed vector and vecv(0)=[(1)/(0)]. Then for n ge ...

    Text Solution

    |

  7. If a is the matrix [(1,-3),(-1,1)], then A-(1)/(3)A^(2)+(1)/(9)A^(3)……...

    Text Solution

    |

  8. A sequence of 2xx2 matrices {M(n)} is defined as follows M(n)=[((1)/(...

    Text Solution

    |

  9. Let |veca|=1, |vecb|=1 and |veca+vecb|=sqrt(3). If vec c be a vector ...

    Text Solution

    |

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

    Text Solution

    |

  11. The plane denoted by P(1) : 4x+7y+4z+81=0 is rotated through a right a...

    Text Solution

    |

  12. ABCD is a regular tetrahedron, A is the origin and B lies on x-axis. A...

    Text Solution

    |

  13. A, B, C, D are four points in the space and satisfy |vec(AB)|=3, |vec(...

    Text Solution

    |

  14. Let OABC be a regular tetrahedron of edge length unity. Its volume be ...

    Text Solution

    |

  15. If veca and vecb are non zero, non collinear vectors and veca(1)=lamb...

    Text Solution

    |

  16. Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...

    Text Solution

    |

  17. Let P and Q are two points on curve y=log((1)/(2))(x-(1)/(2))+log(2) s...

    Text Solution

    |

  18. If a, b, c, l, m, n in R-{0} such that al+bm+cn=0, bl+cm+an=0, cl+am+b...

    Text Solution

    |

  19. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |