Home
Class 12
MATHS
Let vec a , vec b ,a n d vec c be non-c...

Let ` vec a , vec b ,a n d vec c` be non-coplanar unit vectors, equally inclined to one another at an angle`theta` then `[ veca vecb vecc ]` in terms of θ is equal to :

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE ENGLISH|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Let a , b and c be non-coplanar unit vectors equally inclined to one another at an acute angle θ then [ a b c ] in terms of θ is equal to :

Let veca, vecb and vecc be non - coplanar unit vectors, equally inclined to one another at an angle theta . If veca xx vecb + vecb xx vecc = p veca + q vecb + rvecc , find scalars p, q and r in terms of theta .

If vec a, vec b and vec c are three non-coplanar unit vectors each inclined with other at an angle of 30^@, then the volume of tetrahedron whose edges are vec a,vec b, vec c is (in cubic units)

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

Let vec a , vec b ,a n d vec c be non-coplanar vectors and let the equation vec a^' , vec b^' , vec c ' are reciprocal system of vector vec a , vec b , vec c , then prove that vec axx vec a^'+ vec bxx vec b^'+ vec cxx vec c ' is a null vector.

i. If vec a , vec b a n d vec c are non-coplanar vectors, prove that vectors 3veca -7vecb -4 vecc ,3 veca -2vecb + vecc and veca + vecb +2 vecc are coplanar.

If vec a \ a n d \ vec b are two non-collinear unit vector, and ∣ ​ veca + vecb ∣ ​ = 3 ​ then (2 veca −5 vecb ).(3 veca + vecb ) =

If vec a , vec b , vec c are three non-coplanar vectors, prove that [ vec a+ vec b+ vec c vec a+ vec b vec a+ vec c]=-[ vec a vec b vec c]

vec a , vec ba n d vec c are three non-coplanar ,non-zero vectors and vec r is any vector in space, then ( veca × vecb )×( vecr × vecc )+( vecb × vecc )×( vecr × veca )+( vecc × veca )×( vecr × vecb ) is equal to

If vec a , vec ba n d vec c are any three non-coplanar vectors, then prove that points are collinear: veca+ vecb+vecc , 4veca+3vecb ,10veca+7vec b-2vecc .

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. Let vec u be a vector on rectangular coordinate system with slopin...

    Text Solution

    |

  2. Two adjacent sides of a parallelogram A B C D are given by vec A B...

    Text Solution

    |

  3. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equall...

    Text Solution

    |

  4. Volume of parallelepiped formed by vectors vec axx vec b , vec bxx...

    Text Solution

    |

  5. Given three vectors vec a , vec b ,a n d vec c two of which are non-c...

    Text Solution

    |

  6. The value of a so that the volume of parallelepiped formed by hat i...

    Text Solution

    |

  7. A1,A2,..., An are the vertices of a regular plane polygon with n sides...

    Text Solution

    |

  8. If c is a given non-zero scalar, and vec A and vec(B) are given ...

    Text Solution

    |

  9. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  10. [ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb ...

    Text Solution

    |

  11. Let vec A=2 vec i+ vec k , vec B= vec i+ vec j+ vec kdot vec C = 4hat...

    Text Solution

    |

  12. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  13. If vec r=x1( vec axx vec b)+x2( vec bxx vec a)+x3( vec cxx vec a) and...

    Text Solution

    |

  14. [( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)(...

    Text Solution

    |

  15. If V be the volume of a tetrahedron and V ' be the volume of another...

    Text Solution

    |

  16. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

    Text Solution

    |

  17. A(veca),B(vecb),C(vecc) are the vertices of the triangle ABC and R(vec...

    Text Solution

    |

  18. Let vec a , vec ba n d vec c be three non-coplanar vectors and v...

    Text Solution

    |

  19. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

    Text Solution

    |

  20. The position vectors of point A ,B ,a n dC are hat i+ hat j+ hat k...

    Text Solution

    |