Home
Class 12
MATHS
Let veca, vecb and vecc be three units v...

Let `veca, vecb and vecc` be three units vectors such that `3veca + 4vecb + 5vecc =0`. Then which of the following statements is true ?

A

`veca` is parallel to `vecb`

B

`veca` is perpendicular to `vecb`

C

`veca` is neither parallel nor perpendicular to `vecb`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Let veca,vecb,vecc be three unit vectors such that 3veca+4vecb+5vecc=vec0 . Then which of the following statements is true? (A) veca is parrallel to vecb (B) veca is perpendicular to vecb (C) veca is neither parralel nor perpendicular to vecb (D) veca,vecb,vecc are copalanar

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0 . Which of the following is correct?

If veca, vecb, vecc are the unit vectors such that veca + 2vecb + 2vecc=0 , then |veca xx vecc| is equal to:

Let veca,vecb,vecc be three non-zero vectors such that [vecavecbvecc]=|veca||vecb||vecc| then

let veca, vecb and vecc be three unit vectors such that veca xx (vecb xx vecc) =sqrt(3)/2 (vecb + vecc) . If vecb is not parallel to vecc , then the angle between veca and vecb is:

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

Let veca , vecb , vecc be three unit vectors such that |veca + vecb +vecc| =1 and veca bot vecb , " if " vecc makes angles delta beta " with " veca, vecb respectively, then cos delta + cos beta is equal to

Let veca, vecb and vecc be unit vector such that veca + vecb - vecc =0 . If the area of triangle formed by vectors veca and vecb is A, then what is the value of 4A^(2) ?

Let veca,vecb and vecc be three vectors. Then scalar triple product [veca vecb vecc] is equal to

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. if veca , vecb and vecc are three non-zero, non- coplanar vectors and ...

    Text Solution

    |

  2. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  3. Let veca, vecb and vecc be three units vectors such that 3veca + 4vecb...

    Text Solution

    |

  4. The value of x for which the angle between veca=2x^(2)hati+4xhatj + ha...

    Text Solution

    |

  5. Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+...

    Text Solution

    |

  6. If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vec...

    Text Solution

    |

  7. If unit vector vecc makes an angle pi/3 with hati + hatj, then minimum...

    Text Solution

    |

  8. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecb xx vecc...

    Text Solution

    |

  9. For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc| = |v...

    Text Solution

    |

  10. If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc...

    Text Solution

    |

  11. If veca,vecb, vecc are unit coplanar vectors then the scalar triple pr...

    Text Solution

    |

  12. veca, vecb,vecc are non-coplanar vectors and vecp,vecq,vecr are define...

    Text Solution

    |

  13. If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0, find the...

    Text Solution

    |

  14. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

    Text Solution

    |

  15. If vecd=lambda(vecaxxvecb)+mu(vecbxxvecc)+t(veccxxveca).[veca,vecbvecc...

    Text Solution

    |

  16. Let vecb and vecc be non-collinear vectors. If veca is a vector such t...

    Text Solution

    |

  17. Let O be the centre of a regular pentagon ABCDE and vec(OA) = veca, th...

    Text Solution

    |

  18. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

    Text Solution

    |

  19. Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...

    Text Solution

    |

  20. A, B C and D are four points in a plane with position vectors, veca, v...

    Text Solution

    |