Home
Class 12
MATHS
By vector method, show that the four poi...

By vector method, show that the four points (7, 2, -3), (6, 1, 4), (-3, -4, -1) and (-2, -3, -8) are the vertices of a parallelogram.

Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

  • VECTOR

    CHHAYA PUBLICATION|Exercise EXERCISE - SHORT ANSWER TYPE QUESTIONS|17 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

Prove that the points ( 2 , 3, 5) , ( - 4 , 7 , - 7) , ( - 2 , 1 , -10) and ( 4 , - 3 , 2) are the vertices of a rectangle .

Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(-1, -2, 1) and S(1, 2, 5) taken in order, are the vertices of a parallelogram. Is the parallelogram a rectangle?

Without using distance formula, show that points (-2, -1) , (4, 0) , (3, 3) " and " (-3, 2) are the vertices of a parallelogram.

Prove that the points A (-2,-1) , B (5,4) C (6,7) and D (-1,2) are the vertices of a parallelogram.

Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) and ( 1, 2 , 3) taken in order are the vertices of a parallelogram . Is the the parallelogram a rectangle?

Be vector method show that the points (2,-3,4),(-2,1,0)and (1,-2,3) are collinear

Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the vertices of a parallelogram. Is it a rectangle ?

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

Prove that the points ( - 1 , - 3, 4) , ( 1 , - 6, 10) , ( 7 , - 4 , 7 ) and ( 5 , - 1 , 1) are the vertices of the rhombus .

CHHAYA PUBLICATION-VECTOR-EXERCISE - LONG ANSWER TYPE QUESTIONS
  1. If vec(a)=2hat(i)+hat(j)-3hat(k), vec(b)=5hat(i)+4hat(j)+2hat(k) " and...

    Text Solution

    |

  2. If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=2hat(i)-hat(j)+3hat(k) " and " ...

    Text Solution

    |

  3. By vector method, show that the four points (7, 2, -3), (6, 1, 4), (-3...

    Text Solution

    |

  4. Find a unit vector in direction parallel to the sum of the vectors vec...

    Text Solution

    |

  5. If vec(a)=2hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)+3hat(j)+6hat(k) " and...

    Text Solution

    |

  6. The vectors vec(a) " and " vec(b) are non-collinear. Find for what val...

    Text Solution

    |

  7. Given that the points with position vectors 12hat(i)-5hat(j), 10hat(i)...

    Text Solution

    |

  8. The vectors vec(a) " and " vec(b) are non-collinear. If vec(p)=(x+4y)v...

    Text Solution

    |

  9. If the sum of two unit vectors is a unit vector, prove that the magnit...

    Text Solution

    |

  10. ABCDEF is a regular hexagon. If vec(CD)=vec(a), vec(DE)=vec(b), " find...

    Text Solution

    |

  11. bar(AC) " and " bar(BD) are the diagonals of the parallelogram ABCD. P...

    Text Solution

    |

  12. By vector method show that the figure formed by joining the mid-points...

    Text Solution

    |

  13. Defination : Unit vector

    Text Solution

    |

  14. ABCD is a parallelogram and P is the midpoint of the side bar(BC). Pro...

    Text Solution

    |

  15. ABCD is a parallelogram, P and Q are the mid-points of the sides bar(A...

    Text Solution

    |

  16. ABCD is a parallelogram and P is the mid-point of bar(DC). If Q is a p...

    Text Solution

    |

  17. D, E, F are the midpoints of the sides bar(BC), bar(CA) " and " bar(AB...

    Text Solution

    |

  18. C is the midpoint of the line segment bar(AB) and O is any point outsi...

    Text Solution

    |

  19. G is a point inside the plane of the triangle ABC, if vec(GA)+vec(GB)+...

    Text Solution

    |

  20. The diagonals of the parallelogram ABCD intersect at E. If vec(a), vec...

    Text Solution

    |