Home
Class 11
MATHS
Examine whether the vectors hati+3hatj+h...

Examine whether the vectors `hati+3hatj+hatk,2hati-hatj-hatk` and `7hatj+5hatk` are coplanar.

Text Solution

Verified by Experts

The correct Answer is:
not a coplanar
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA-I

    FULL MARKS|Exercise EXERCISE 8.5|25 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors hati+2hatj-3hatk , 2hati-hatj+2hatk and 3hati+hatj-hatk are coplanar.

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

Show that the vectors 5 hat i+6hatj+7hatk,7hati-8hatj+9hatk,3hati+20hatj+5hatk are coplanar.

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

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

Find the volume of the parallelepiped whose coterminus edges are given by the vectors 2hati-3hatj+4hatk , hati+2hatj-hatk and 3hati-hatj+2hatk .

Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-hatk,3hati+9hatj+4hatk and -4hati+4hatj+4hatk are coplanar.

Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj-4hatk form a right angled triangle.

FULL MARKS-VECTOR ALGEBRA-I-ADDITIONAL PROBLEMS
  1. Show that the points whose position vectors are 4veci +5vecj+6veck, 5v...

    Text Solution

    |

  2. Prove that the points 2hati+3hatj+4hatk,3hati+4hatj+2hatk,4hati+2hatj+...

    Text Solution

    |

  3. Examine whether the vectors hati+3hatj+hatk,2hati-hatj-hatk and 7hatj+...

    Text Solution

    |

  4. Find lamda so that the vectors 2hati+lamdahatj+hatk and hati-2hatj+hat...

    Text Solution

    |

  5. If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is

    Text Solution

    |

  6. If the sum of two unit vectors is a unit vector prove that the magnitu...

    Text Solution

    |

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

    Text Solution

    |

  8. Find the projection of : (i) hati-hatj on Z-axis (ii) hati+2hatj-2ha...

    Text Solution

    |

  9. Show that the vector hati+hatj+hatk is equally inclined with the coord...

    Text Solution

    |

  10. If veca,vecb,vecc are three mutually perpendicular unit vectors, then ...

    Text Solution

    |

  11. Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4h...

    Text Solution

    |

  12. Let vec(u),vec(v),vec(w)" be vectors such that "vec(u)+vec(v)+vec(w)=v...

    Text Solution

    |

  13. If vecp=-3veci+4vecj-7veck ans vecq=6veci+2vecj-3veck then find vecpxx...

    Text Solution

    |

  14. If veca.vecb are say two vectors, then prove that abs(vecaxxvecb)^(2)+...

    Text Solution

    |

  15. Find the angle between the vectors 2hati+hatj-hatk and hati+2hatj+hatk...

    Text Solution

    |

  16. Find the vectors of magnitude 6 which are perpendicular to both the ve...

    Text Solution

    |

  17. Find the vectors whose length 5 and which are perpendicular to the vec...

    Text Solution

    |

  18. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd show that veca-vecd...

    Text Solution

    |

  19. Find the angle between two vectors veca nd vecb if abs(vecaxxvecb)=vec...

    Text Solution

    |

  20. If veca,vecb,vecc be unit vectors such that veca.vecb=veca.vecc=0 and ...

    Text Solution

    |