Home
Class 12
MATHS
Show that the vectors 2 hati-hatj+hatk, ...

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

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

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

Show that the points A(-2 hati+3 hatj+5 hatk) , B(hati+2 hatj+3 hatk) and C(7 hati-hatk) are collinear.

Find the angle between the vectors hati-2 hatj+3 hatk and 3 hati-2 hatj+hatk

Show that the points with position vectors 2hati+6hatj+3hatk,hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

Show that the points with position vectors '2 hati+6 hatj+3 hatk, hati+2 hatj+7 hatk' and '3 hati+10 hatj-hatk' are collinear.

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

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If the vertices A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2)re...

    Text Solution

    |

  2. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

    Text Solution

    |

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

    Text Solution

    |

  4. If a is a non-zero vector of magnitude'a' and lambda a non-zero scala...

    Text Solution

    |

  5. Show that the area of a parallelogram with diagonals veca and vecb is ...

    Text Solution

    |

  6. Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-...

    Text Solution

    |

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

    Text Solution

    |

  8. Consider the triangle ABC with vertices A(1,1,1), B(1,2,3) and C(2,3,1...

    Text Solution

    |

  9. Find the area of a parallelogram whose adjacent sides are given by the...

    Text Solution

    |

  10. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

    Text Solution

    |

  11. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

    Text Solution

    |

  12. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

  13. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

    Text Solution

    |

  14. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

    Text Solution

    |

  15. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

    Text Solution

    |

  16. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

    Text Solution

    |

  17. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

    Text Solution

    |

  18. Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...

    Text Solution

    |

  19. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  20. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

    Text Solution

    |