Home
Class 12
MATHS
If vecu, vecv, vecw are non -coplanar v...

If `vecu, vecv, vecw` are non -coplanar vectors and `p,q,` are real numbers then the equality
`[3vecu p vecv p vecw]-[p vecv vecw qvecu]-[2vecw-qvecv qvecu]=0` holds for

A

more than two but not all values of (p, q)

B

all values of (p, q)

C

exactly one values of (p, q)

D

exactly two values of (p, q)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos
  • VECTOR ALGEBRA

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

If vecu, vecv, vecw are three vectors such that [vecu vecv vecw]=1 , then 3[vecu vecv vecw]-[vecv vecw vecu]-2[vecw vecv vecu]=

If vecu, vercv, vecw be three noncoplanar unit vectors and alpha,beta, gamma the angles between vecu and vecv, vecv and vecw,vecw and vecu respectively, vecx, vecy , vecz unit vector along the bisectors of the angles alpha, beta, gamma respectively. Prove that: [vecx xx vecy vecy xx vecz vecz xx vecx]=1/16[vecu vecv vecw]^(2) sec^(2) alpha/2 sec^(2) beta/2 sec^(2) gamma/2

If vecu, vecv, vecw are three non-coplanar vectors, the (vecu+vecv-vecw).(vecu-vecv)xx(vecv-vecw) equals

If vecu, vecv, and vecw are three non-caplanar vectors, then prove that (vecu+vecv-vecw).(vecu-vecv)xx(vecv-vecw)=vecu.vecvxxvecw

If vecu,vecv and vecw are three non coplanar vectors then (vecu+vecv-vecw).(vecu-vecc)xx(vecv-vecw) equals (A) vecu.vecvxxvecw (B) vecu.vecwxxvecv (C) 3vecu.vecuxxvecw (D) 0

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

    Text Solution

    |

  2. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

    Text Solution

    |

  3. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

    Text Solution

    |

  4. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

    Text Solution

    |

  5. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

    Text Solution

    |

  6. If a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

    Text Solution

    |

  7. The vectors a and b are not perpendicular and c and d are two vectors ...

    Text Solution

    |

  8. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

    Text Solution

    |

  9. Let a,b and c be three non-zero vectors which are pairwise non-colline...

    Text Solution

    |

  10. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

    Text Solution

    |

  11. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

    Text Solution

    |

  12. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  13. If veca and vecb are non colinear vectors, then the value of alpha for...

    Text Solution

    |

  14. Let vec a = 2hat i-hat j+hat k,vec b=hat i+ 2hat j-hat k and vec c=h...

    Text Solution

    |

  15. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is euqual to

    Text Solution

    |

  16. If abs(a)=2, abs(b)=3" and "abs(2a-b)=5," then "abs(2a+b) equals

    Text Solution

    |

  17. If abs(c)^(2)=60" and "c times (i+j+5k)=0, then a value of c*(-7i+2j+3...

    Text Solution

    |

  18. If x, y and z are three unit vectors in three dimensional space, then ...

    Text Solution

    |

  19. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

    Text Solution

    |

  20. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |