Home
Class 11
MATHS
Show that the points A (1,1,1), B (1,2,3...

Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices of an isosceles triangle.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.3|19 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise EXERCISE 8.4|10 Videos

  • VECTOR ALGEBRA -I

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION - D (5 - MARK)|4 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

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

Similar Questions

Explore conceptually related problems

Show that the given points (1,1) ,(5,4) and (-2,5) are the vertices of an isosceles right angled triangle.

Show that the points A(1,2,7), B(2,6,3) and C(3, 10, -1) are collinear.

Check whether points (3, 3), (-4, -1) and (3, - 5) are the vertices of an isosceles triangle.

Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1,-1) are the vertices of a right angled triangle.

Show that the points (1, 7), (4, 2), (-1, -1) and (-4, 4) are the vertices of a squre.

Show that the points A(1,2,3),B(-1,-2,-1),C(2,3,2) and D(4,7,6) are the vertices of a parallelogram ABCD, but it is not a rectangle.

Show that points A(1,-5), B(-4,-8), C(-1. -13) and D(4,-10) are the vertices of a rhombus.

Show that the point (3,-2),(3,2),(-1,2) and (-1,-2) taken in order are the vertices of a square.

Find the area of atriangle having the points A(1,1,1), B (1,2,3) and C(2,3,1) as its vertices.

Show that points P(1,-2), Q(5, 2), R(3, -1), S(-1, -5) are the vertices of a parallelogram.

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.2
  1. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  2. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  3. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  4. Find the direction cosines and direction ratios for the following vect...

    Text Solution

    |

  5. A triangle is formed by joining the points (1,0,0), (0,1,0) and (0,0,1...

    Text Solution

    |

  6. If (1)/(2),(1)/(sqrt(2)) a are the direction cosines of some vector, t...

    Text Solution

    |

  7. If (a,a+b,a+b+c) is one set of direction ratios of the line joining (1...

    Text Solution

    |

  8. Show that the vectors 2hat(i)-hat(j)+hat(k),3hat(i)-4hat(j)-4hat(k), h...

    Text Solution

    |

  9. Find the value of lambda for which the vectors veca=3hat(i)+2hat(j)+9h...

    Text Solution

    |

  10. Show that the vectors are coplanar hat(i)-2hat(j)+3hat(k),-2hat(i)+...

    Text Solution

    |

  11. Show that the vectors are coplanar 2hat(i)+3hat(j)+hat(k),hat(i)-hat...

    Text Solution

    |

  12. Show that the points whose position vectors 4hat(i)+5hatj+hatk,-hatj-h...

    Text Solution

    |

  13. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

    Text Solution

    |

  14. If veca=2hati+3hatj-4hatk,vecb=3hati-4hatj-5hatk, and vecc=-3hati+2hat...

    Text Solution

    |

  15. The position vectors of the vertices of a triangle are hati+2hatj+3hat...

    Text Solution

    |

  16. Find the unit vector parallel to 3veca-2vecb+4vecc,"if"" "veca=3hati-h...

    Text Solution

    |

  17. The position vectors veca,vecb,veccof three points satisfy the relatio...

    Text Solution

    |

  18. The position vectors of the points P,Q,R,S are hati+hatj+hatk,2hati+5h...

    Text Solution

    |

  19. Find the value or values of m for which m (hati+hatj+hatk) is a unit v...

    Text Solution

    |

  20. Show that the points A (1,1,1), B (1,2,3) and C (2,-1,1) are vertices ...

    Text Solution

    |