Home
Class 12
MATHS
Let veca=hati+4hatj+2hatk,vecb=3hati-2ha...

Let `veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk` and `vecc=2hati-hatj+4hatk`. Find a vector `vecd`, which is perpendicular to both `veca` and `vecb` and `vecc*vecd=18`.

Text Solution

Verified by Experts

The correct Answer is:
`vecd=2(32hati-hatj-14hatk)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - III : TRUE RO FALSE QUESTIONS)|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

Similar Questions

Explore conceptually related problems

Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4hatk . Find a vector vecd , which is perpendicular to both veca and vecb and vecd*vecc=18 .

If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4hatk then find a vector vecd (which is _|_ ar to both veca and vecb ) and vecc.vecd =15.

If veca = hati-hatj , vecb = 3hatj-hatk and vecc = 7hati-hatk . Find a vector vecd which is perpendicular to both veca and vecb and vecc.vecd =1.

If veca=4hati+5hatj-hatk , vecb=hati-4hatj+5hatk and vecc=3hati+3hatj-hatk then find a vector vecd (which is _|_ ar to both veca and vecb ) and vecc.vecd =21.

Vectors veca=3hati+hatj+hatk, vecb=hati-hatj+2hatk and vecc=2hati-hatj-hatk are given. Find vector vecd if vecd is perpendicular to vecc and vecd*veca=10,vecd*vecb=1 .

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Dot product of a vector with vectors hati-hatj+hatk,2hatk+hatj+3hatk a...

    Text Solution

    |

  2. If veca+vecb+vecc=vec0 and |veca|=3,|vecb|=5,|vecc|=7, show that the a...

    Text Solution

    |

  3. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  4. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  5. If veca,vecb,vecc are three vectors such that : |veca|=5,|vecb|=12 and...

    Text Solution

    |

  6. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  7. Using vectors, prove that a parallelogram whose diagonals are equal is...

    Text Solution

    |

  8. For any vector veca the value of (vecaxxhati)^(2)+(vecaxxhatj)^(2)+(ve...

    Text Solution

    |

  9. Find a unit vector perpendicular to the plane of triangle ABC where th...

    Text Solution

    |

  10. Find a unit vector perpendicular to each of the vectors (veca+vecb) an...

    Text Solution

    |

  11. Find a vector of magnitude sqrt(171), which is perpendicular to both o...

    Text Solution

    |

  12. Find a vector of magnitude 5 units, perpendicular to each of the vecto...

    Text Solution

    |

  13. Find the area of a parallelogram whose adjacent sides are represented ...

    Text Solution

    |

  14. If veca=2hati-3hatj+hatk, vecb=hati+hatk, vecc=2hatj-hatk are three ve...

    Text Solution

    |

  15. With help of vectors find the area of the triangle with vertices A(2,3...

    Text Solution

    |

  16. Using vectors find the area of the triange ABC with vertices A(1,2,3),...

    Text Solution

    |

  17. If vecaxxvecb=veccxxvecdand vecaxxvecc=vecbxxvecd, show that veca-vecd...

    Text Solution

    |

  18. If veca=hati+hatj+hatk and vecb=hatj-hatk, find a vector vecc such tha...

    Text Solution

    |

  19. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

    Text Solution

    |

  20. If vecr=xhati+yhatj+zhatk, find : (vecrxxhati)*(vecrxxhatj)+xy.

    Text Solution

    |