Home
Class 12
MATHS
Vectors veca,vecb and vecc are of the sa...

Vectors `veca,vecb and vecc` are of the same length and when taken pair-wise they form equal angles. If `veca=hati+hatj and vecb=hatj+hatk` then find vector `vecc`.

A

`hati + hatk`

B

`hati + 2hatj + 3hatk`

C

`-hati + hatj + 2hatk`

D

`1/3(-hati + 4hatj - hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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

The vectors veca , vecb and vecu xx vecu are of the same length and taken pairwise they form equal angles. If veca = hati +hatj and vecb =hatj +hatk then vecc is equal to

Find the angle between the vectors veca+vecb and veca-vecb if veca=2hati-hatj+3hatk and vecb=3hati+hatj-2hatk .

Find a unit vector perpendicular to the plane of two vectors veca and vecb where veca=hati-hatj and vecb=hatj+hatk

(a)Statement 1: Vector vecc = -5hati + 7 hatj + 2hatk is along the bisector of angle between veca = hati + 2hatj + 2hatk and vecb = 8 hati + hatj - 4hatk . Statement 2 : vecc is equally inclined to veca and vecb .

Consider three vectors veca , vecb and vecc Statement 1: vecaxxvecb = ((hatixxveca).vecb)hati+ ((hatj xx veca).vecb)hatj + (hatk xxveca).vecb)hatk Statement 2: vecc= (hati.vecc)hati+ (hatj .vecc) hatj + (hatk. vecc)hatk

Find the projection of vecb+vecc on veca where veca=hati+2hatj+hatk, vecb=hati+3hatj+hatk and vecc=hati+hatk .

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

Let a vector veca =alpha hati + 2hatj + beta hatk (alpha, beta in R) , veca lies in the plane of the vectors, vecb= hati + hatj and vecc= hati -hatj+4hatk . If veca bisects the angle between vecb and vecc , then :

Let veca=hati+2hatj and vecb=2hati+hatj. Is |veca|=|vecb| Are the vectors veca and vecb equal?.

VMC MODULES ENGLISH-VECTORS -LEVEL -1
  1. The vertices of a triangle have the position vectors veca,vecb,vecc an...

    Text Solution

    |

  2. If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc...

    Text Solution

    |

  3. Vectors veca,vecb and vecc are of the same length and when taken pair-...

    Text Solution

    |

  4. If three vectors veca, vecb,vecc are such that veca ne 0 and veca xx v...

    Text Solution

    |

  5. veca,vecb,vecc are three non-coplanar vectors such that veca+vecb+vecc...

    Text Solution

    |

  6. If S is the cirucmcentre, G the centroid, O the orthocentre of a trian...

    Text Solution

    |

  7. If veca, vecb, vecc are three non-zero vectors such that veca + vecb +...

    Text Solution

    |

  8. Let alpha,beta and gamma be distinct real numbers. The points with pos...

    Text Solution

    |

  9. If |veca|=4, |vecb|=4 and |vecc|=5 such that veca bot vecb + vecc, vec...

    Text Solution

    |

  10. If vecu=veca-vecb, vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvec...

    Text Solution

    |

  11. If the vectors vecc, \ veca=xhati+yhatj+zhatk and vecb=hatj are such ...

    Text Solution

    |

  12. Given any vector, vecr,|vecr xx hati|^(2) + |vecr xx hatj|^(2) + |vecr...

    Text Solution

    |

  13. The value of x fot which the angle between the vectors a=-3hat(i)+xhat...

    Text Solution

    |

  14. If a,b and c are non-coplanar vectors and lamda is a real number, then...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

    Text Solution

    |

  18. if veca , vecb and vecc are three non-zero, non- coplanar vectors and ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |