Home
Class 11
PHYSICS
Find a vector of magnitude 18 which is p...

Find a vector of magnitude 18 which is perpendicular to both the vectors `4 hati - hatj + 3hatk` and `-2hati + hatj - 2hatk`.

Text Solution

Verified by Experts

The correct Answer is:
`-6 hati + 12 hatj + 12 hatk`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find a vector of magnitude 6 which is perpendicular to both the vectors 2 hati - hatj + 2hatk and 4 hati - hatj + 3hatk.

Find a vector of magnitude 15 which isperpendicular to both vectors 4hati-hatj+8hatk and -hatj+hatk .

Find a vector of magnitude 6, which is perpendicular to both the vectors 2hati-hatj+2hatkand4hati-hatj+3hatk .

The vector of magnitude 9 unit perpencular to the vectors 4 hati - hatj +3hatk and-2 hati + hatj - 2hatk will be

A vector perpendicular to both of the vectors hati+hatj+hatk and hati+hatj is

A unit vector perpendicular to both the vectors 2hati-2hatj+hatk and 3hati+4hatj-5hatk , is

Find a unit vector perpendicular to both the vectors hati-2hatj+hatk and hati+2hatj+hatk .

A vector of magnitude 4 which is equally inclined to the vectors hati + hatj , hatj + hatk and hatk + hati , is

Find a unit vector perpendicular to both the vectors 2hati+3hatj+hatk) and (hati-hatj+2hatk) .

SL ARORA-VECTORS-Problems For Self Practice
  1. If the resultant of the vectors 3 hati +4 hatj +5 hatk and 5 hati +3 h...

    Text Solution

    |

  2. Show that the vectors a =3hati - 2hatj+hatk, b=hati - 3hatj+5hatk and ...

    Text Solution

    |

  3. If vectors vec(A),vec(B) and vec(C) have magnitudes 8,15 and 17 units ...

    Text Solution

    |

  4. If vec A =vec B- vec C, then determine the angle between vec A and ve...

    Text Solution

    |

  5. For two vectors vec(A) and vec(B) if vec(A) + vec(B) = vec(C) and A +B...

    Text Solution

    |

  6. Prove that (vec(A) +2vec(B)) .(2vec(A) - 3vec(B)) = 2A^(2) +AB cos the...

    Text Solution

    |

  7. Prove that the vectors vec(A) = 4 hati +3hatj +hatk and vec(B) = 12 ha...

    Text Solution

    |

  8. If vec(A) = 2hati +3 hatj +hatk and vec(B) = 3hati + 2hatj + 4hatk, th...

    Text Solution

    |

  9. Find the value of a for which the vectors 3 hati + 3hatj + 9 hatk and ...

    Text Solution

    |

  10. Find a unit vector perpendicular the vectors vec(A) = 4 hati = hatj +3...

    Text Solution

    |

  11. Find the sine of the angle between the vectors vec(A) = 3 hati - 4hatj...

    Text Solution

    |

  12. Find a vector of magnitude 18 which is perpendicular to both the vecto...

    Text Solution

    |

  13. Determine the area of the parallelogram whose adjacent sides are forme...

    Text Solution

    |

  14. Find the area of the triangle formed by points O,A and B such that vec...

    Text Solution

    |

  15. Find with the help of vectors, the area of the triangle with vertices ...

    Text Solution

    |

  16. If vec(A) and vec(B) are two such vectors that |vec(A)| = 2, |vec(B)| ...

    Text Solution

    |

  17. Find the moment about the point hati + 2hatj - hatk of a force represe...

    Text Solution

    |

  18. Prove that (vec(a) + vec(b)) xx (vec(a) - vec(b)) = 2 (vec(b) xx vec(a...

    Text Solution

    |

  19. Prove that |vec(a) xx vec(b)| = sqrt(a^(2)b^(2) -(vec(a) -vec(b))^(2))

    Text Solution

    |

  20. If vec(a) = hati - 2hatj - 3hatk, vec(b) = 2 hati - hatj - hatk and ve...

    Text Solution

    |