Home
Class 12
MATHS
if the vectors vecc, veca = xhati +yhatj...

if the vectors `vecc, veca = xhati +yhatj + zhatk and vecb = hatj` are such that `veca , vecc and vecb` from a right -handed system, then find `vecc`.

A

`z hati-xhatk `

B

0

C

`yhati`

D

`-zhati+xhatk`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos
  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

Similar Questions

Explore conceptually related problems

If the vectors veca.veca = xhati + y hatj + zhatk and vecb =hatj are such that veca, vecb ,and vecb from a right handed system , then vecc id

I the vectors veca,veca=xhati+yhatj+zhatka and vecb=hatj are such that veca,vecc and vecb form a righat handed system then vecc is (A) zveci-xveck (B) vec0 (C) yhatj (D) -zhati+xhatk

If veca=hati+hatj+hatk and vec=hatj-hatk find a vector vecc such that vecaxxvecc=vecb and veca.vecc=3 .

If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vecc such that veca.veca = 2 and veca xx vecc = vecb

If veca, vecb and vecc are three non zero vectors such that veca xx vecb = vecc and vecbxx vecc = veca. Prove that veca, vecb and vecc are mutually at right angles and |vecb|=1 and |vecc| =|veca|

Let veca = hati + hatj +hatjk, vecc =hatj - hatk and a vector vecb be such that veca xx vecb = vecc and veca.vecb=3 . Then |vecb| equals:

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

Given veca=xhati+yhatj+2hatk,vecb=hati-hatj+hatk , vecc=hati+2hatj, veca botvecb,veca.vecc=4 then

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

BITSAT GUIDE-VECTOR ALGEBRA -BITSAT Archives
  1. if the vectors vecc, veca = xhati +yhatj + zhatk and vecb = hatj are s...

    Text Solution

    |

  2. The unit vector perpendicular to the vectors hati -hatj andhati + hatj...

    Text Solution

    |

  3. Let veca,vecb and vecc be non-zero vectors such that no two are collin...

    Text Solution

    |

  4. If |a|= 2, |b|=5 and |a xx b|=8, then |a.b| is equal to

    Text Solution

    |

  5. The work done by the force 4hati-3hatj +2hatk in moving a particle al...

    Text Solution

    |

  6. If a .(b xx c) = 0, then the correct statement is

    Text Solution

    |

  7. If 2hati+hatj-hatk & hati-4hat j+lambda hatk are perpendicular to each...

    Text Solution

    |

  8. If a.hati=4 then (axx hatj).(2hatj-3hatk) is equal to

    Text Solution

    |

  9. The vector r is equal to

    Text Solution

    |

  10. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  11. let a, b, c be three vectors such that a. (b + c) = b. (c + a) = c. (a...

    Text Solution

    |

  12. The position vectors of P and Q are respectively vec a and vec b . If ...

    Text Solution

    |

  13. If the position vectors of A, B and C are respectively 2hati-hatj+hatk...

    Text Solution

    |

  14. Let vecV = 2hati +hatj - hatk and vecW= hati + 3hatk . if vecU is a u...

    Text Solution

    |

  15. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  16. Let a, b, c be three non-coplanar vectors and p, q, r be vectors defin...

    Text Solution

    |

  17. If hata, hatb and hatc are mutually perpendicular unit vectors then |...

    Text Solution

    |

  18. The projection of the vector 2hati+hatj -3hatk on the vector hati-2hat...

    Text Solution

    |

  19. If a = hati+2hatj-3hatk and b = 3hati-hatj+2hatk then the angle betwee...

    Text Solution

    |

  20. If the vectors alpha hati+hatj+hatk,hati+betahatj+hatk and hati+hatj+g...

    Text Solution

    |

  21. If a vector alpha lie in the plane of beta and gamma , then which is...

    Text Solution

    |