Home
Class 11
MATHS
Show that the vectors veca=2hati+3hatj+6...

Show that the vectors `veca=2hati+3hatj+6hatk,vecb=6hati+2hatj-3hatk, " ""and"" "vecc=3hati-6hatj+2hatk`, are mutually orthogonal.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.4|10 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.5|25 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.2|26 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj--7hatk .

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

Find veca.vecb when veca=hati-2hatj+hatk" ""and"" " vecb=3hati-4hatj-2hatk

Find veca.vecb when veca=2hati+2hatj-hatk" ""and"" " vecb=6hati-3hatj+2hatk

Show that the vectors 2 hati-3hatj+4hatk are -4 hati+6hatj-8hatk are collinear.

Show that the vectors -hati-2hatj-6hatk,2hati-hatj+hatk" " and -hati+3hatj+5hatk, form a right angled triangle.

Show that the points vectors are 2hati+3hatj-5hatk,3hati+hatj-2hatk and 6hati-5hatj+7hatk are collinear.

Determine whether the three vectors 2hati+3hatj+hatk, hati-2hatj+2hatk and 3hati+hatj+3hatk are coplanar.

Check whether the three vectors 2hati+2hatj+3hatk, vecb=-3hati+3hatj+2hatk and vecc=3hati+4hatk form a triangle or not.

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.3
  1. Find veca.vecb when veca=hati-2hatj+hatk" ""and"" " vecb=3hati-4hatj...

    Text Solution

    |

  2. Find veca.vecb when veca=2hati+2hatj-hatk" ""and"" " vecb=6hati-3hat...

    Text Solution

    |

  3. Find the value lambda for which the vectors veca and vecb are perpendi...

    Text Solution

    |

  4. Find the value lambda for which the vectors veca and vecb are perpendi...

    Text Solution

    |

  5. If veca and vecb are two vectors such that |veca|=10,|vecb|=15" ""and"...

    Text Solution

    |

  6. Find the angle between the vectors 2hati+3hatj-6hatk" "and 6hati-3ha...

    Text Solution

    |

  7. Find the angle between the vectors hati-hatj" ""and"" "hatj-hatk.

    Text Solution

    |

  8. If veca,vecb,vecc are three vectors such that veca+2vecb+vecc=vec0 and...

    Text Solution

    |

  9. Show that the vectors veca=2hati+3hatj+6hatk,vecb=6hati+2hatj-3hatk, "...

    Text Solution

    |

  10. Show that the vectors -hati-2hatj-6hatk,2hati-hatj+hatk" "and -hati+3h...

    Text Solution

    |

  11. If |veca|=5,|vecb|=6,|vecc|=7 and veca+vecb+vecc=vec0, find veca.vecb+...

    Text Solution

    |

  12. Show that the points (2,-1,3), (4,3,1) and (3,1,2) are collinear.

    Text Solution

    |

  13. If veca,vecb are unit vectors and theta is the angle between them, sho...

    Text Solution

    |

  14. If veca,vecb are unit vectors and theta is the angle between them, sho...

    Text Solution

    |

  15. If veca,vecb are unit vectors and theta is the angle between them, sho...

    Text Solution

    |

  16. Let vec a,vecb,vecc be three vectors such that |veca|=3,|vecb|=4,|vecc...

    Text Solution

    |

  17. Find the projection of the vector hati+3hatj+7hatk on the vector 2hati...

    Text Solution

    |

  18. Find lambda, when the projection of veca=lambdahati+hatj+4hatk on vecb...

    Text Solution

    |

  19. Three vectors veca,vecb and vecc are such that |veca|=2,|vecb|=3,|vecc...

    Text Solution

    |