Home
Class 11
MATHS
Find the unit vector perpendicular to b...

Find the unit vector perpendicular to both vectors `2veci+vecj+2veck` and `3veci+4vej+5veck`.Find also angle between the given vector.

Text Solution

Verified by Experts

The correct Answer is:
`vecn=(-3veci-4vecj+5veck)/(sqrt50)`
Promotional Banner

Topper's Solved these Questions

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise (8.1)|13 Videos

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Solution to Exercise(8.2)|27 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

Find the unit vector in the direction of the vector veci-2vecj+3veck .

The unit vector parallel to the resultant of the vectors veci+vecj-veck and veci-2vecj+veck is ……….

Find the vectors of magnitude 6 which are perpendicular to both the vectors 4veci-vecj+3veck and -2veci+vecj-2veck .

Find the angle between the vectors 3veci-4vecj+veck and veci-3vecj+4veck .

If veca=2veci+3vecj-4veck and vecb =5veci+2vecj+4veck , find the angle between veca and vecb .

Find the angle between the vectors 2veci+vecj-veck " and " vec i + 2 vec j+ veck

Find the angle between the vectors 2veci+vecj-veck " and " vec i + 2 vec j+ veck

The projection of 2veci-vecj+2veck on veci+2vecj+2veck is :

Find the length of the perpendicular from the origin to the plane vecr.(3veci+4vecj+12veck)=26

Find the direction ratios and direction cosines of the vectors (ii) veci +vecj+ veck .

PREMIERS PUBLISHERS-Vector Algebra -I-Choose Correct Option
  1. Find the unit vector perpendicular to both vectors 2veci+vecj+2veck a...

    Text Solution

    |

  2. If vec a,vecb,vecc are sides of triangle taken in order then avec+bvec...

    Text Solution

    |

  3. Let O be the origin . Let A and B be two points whose position vectors...

    Text Solution

    |

  4. Let vecr=xveci+yvecj+zveck be the position vector of any point and let...

    Text Solution

    |

  5. If m(veci+vecj+veck) is a unit vector then value of m is:

    Text Solution

    |

  6. A vector vecOP makes 60^(@) each with positive direction of x and y ax...

    Text Solution

    |

  7. If veca =veci-2vecj+veck,vecb=2veci-vecj+2veck, vecc=3veci+vecj-veck b...

    Text Solution

    |

  8. If O is the origin and A,B are the points (2,1,-3) and (1,1,1) respect...

    Text Solution

    |

  9. For any two vectors veca and vecb|veca X vecb|^(2)+|veca.vecb| is:

    Text Solution

    |

  10. If veca,vecb and vecc are three unit vectors satisfying veca-vecb-sqrt...

    Text Solution

    |

  11. Show that vecaxx(vecb+vecc)+vecbxx(vecc+veca)+veccxx(veca+vecb)=vec0.

    Text Solution

    |

  12. Two vertices of a triangle hence position vetors 2veci+4vecj-5veck and...

    Text Solution

    |

  13. If 2veca+6vecb and 3veca+mvecb are parallel then the vector of m is:

    Text Solution

    |

  14. Match the following

    Text Solution

    |

  15. Find the incorrect statement

    Text Solution

    |

  16. Find the incorrect statement

    Text Solution

    |

  17. Find the correct statement

    Text Solution

    |

  18. Find the correct statement: Given vec OA =veca, vecOB=vecb and vecOP =...

    Text Solution

    |

  19. The vectors veca-vecb,vecb-vecc,vecc-veca are

    Text Solution

    |

  20. Find the odd man out.

    Text Solution

    |

  21. Find which in suitable for the blank space given below:|veca.vecb|…….....

    Text Solution

    |