Home
Class 12
MATHS
If veca , vecb and vecc are three non-co...

If `veca , vecb` and `vecc` are three non-coplanar vectors and `vecp , vecq` and `vecr` are vectors defined by `vecp = (vecb xx vecc)/([veca vecb vecc]) , vecq = (vecc xx veca)/([veca vecb vecc])` and `vecr = (veca xx vec b)/([veca vecb vec c])` , then the value of `(veca + vecb) * (vecb + vecc) * vecq + (vecc + vec a) * vecr` =

A

3

B

0

C

1

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2010

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • KARNATAKA CET 2013

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

veca. (veca xx vecb)=

If veca .vecb = veca.vec cand veca xx vecb = veca xx vec c,veca ne0 , then

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

If |veca| = |vecb| = |veca + vecb| = 1 , then the value of |veca - vecb| is equal to

Prove that [veca+vecb vecb+vecc vecc+veca]= 2[veca vecb vecc]

If vecp = veca - vecb , vecq = vec a + vec b and |veca| = |vecb| = 2 , then the value of |vecp xx vecq| is equal to

If [vecaxx vecb vecb xx vecc vecc xx veca] = lamda [veca vecb vecc]^(2), then lamda is equal to :

Prove that [veca+vecb, vecb+vecc, vecc+veca]=2[veca,vecb,vecc]

(veca + vecb) xx (veca - vecb) is :

If veca,vecb and vecc are non-coplaner,then value of veca{(vecbxxvecc)/(3vecb.(veccxxveca))}-vecb.{(veccxxveca)/(2vecc.(vecaxxvecb))} is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2012-MATHEMATICS
  1. Inverse of a diagonal non-singular matrix is

    Text Solution

    |

  2. If ax^(4) + bx^(3) + cx^(2) + dx + e = |{:(x^(3) + 3x , x - 1 , x+ 3) ...

    Text Solution

    |

  3. If veca , vecb and vecc are three non-coplanar vectors and vecp , vecq...

    Text Solution

    |

  4. If (veca xx vecb)^(2) + (veca * vecb)^(2) = 144 and |veca| = 4 , then ...

    Text Solution

    |

  5. Which of the following is false ?

    Text Solution

    |

  6. 2 cos^(-1) x = sin^(-1) (2x sqrt(1 - x^(2))) is valid for all values o...

    Text Solution

    |

  7. If alpha is a complex number such that alpha^(2) - alpha + 1 = 0 , the...

    Text Solution

    |

  8. If cos alpha + 2 cos beta + 3 cos gamma = 0 , sin alpha + 2 sin beta +...

    Text Solution

    |

  9. If the conjugate of (x + iy) ( 1 - 2i) is 1 + i, then

    Text Solution

    |

  10. If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 1...

    Text Solution

    |

  11. The locus of the point of intersection of perpendicular tangents to th...

    Text Solution

    |

  12. If m sin^(-1) x = log (e) y , then (1 - x^(2)) y'' - xy' =

    Text Solution

    |

  13. If y = e^(log(e) [1 + x + x^(2) + …]) , then (dy)/(dx) =

    Text Solution

    |

  14. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

    Text Solution

    |

  15. If a ball is thrown vertically upward and the height 's' reached in ti...

    Text Solution

    |

  16. The sum of two positive numbers is given . If the sum of their cubes i...

    Text Solution

    |

  17. int(pi//6)^(pi//3) (sin^(3) x)/(sin^(3) x + cos^(3) x) dx=

    Text Solution

    |

  18. Lt(x to 0) (x 2^(x) - x)/(1 - cos x ) =

    Text Solution

    |

  19. (3x + 1)/(( x- 1) (x - 3)) = (A)/(x - 1) + (B)/(x - 3) , then sin^(-1)...

    Text Solution

    |

  20. If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 =...

    Text Solution

    |