Home
Class 12
MATHS
If A(-3,-2,0),B(3,-3,1) and C(5,0,2) are...

If `A(-3,-2,0),B(3,-3,1) and C(5,0,2)` are three successive vertices of parallelogram `ABCD,` then its fourth vertex `D` is

A

`(1,1-1)`

B

`(-1,1,1)`

C

`(1,-1,1)`

D

`(2,-3,5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If A(1,2),B(4,3) and C(6,6) are the three vertices of a parallelogram ABCD, find the coordinates of fourth vertex D.

If A(1,2),B(4,3) and C(6,6) are the three vertices of a parallelogram ABCD,find the coordinates of the fourth vertex D .

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD, then

If (-1,\ 2),\ (2,\ -1) and (3,\ 1) are any three vertices of a parallelogram then the fourth vertex (a,b) will be such that (a) a=2 , b=0 (b) a= - 2, b=0 (c) a= - 2, b=6 (d) a=6, b=2

if (-1,2)*(2,-1) and (3,1) are any three vertices of a parallelogram then fourth vertex (a,b) will be such that

If (1,-3) , (-2, 3) and (-2, 2) are three vertices of a parallelogram taken in that order , then the fourth vertex is "_______"

Show that A(1,-2),B(3,4),C(5,10),D(3,2) are the vertices of parallelogram.

If three consecutive vertices of a parallelogram are (1,-2),(3,6) and (5,10), find its fourth vertex.

TARGET PUBLICATION-VECTORS-Critical Thinking
  1. In DeltaABC, P is the mid point of BC,Q divides CA internally in the r...

    Text Solution

    |

  2. If overset(to)(a) =hat(i) - hat(k) , overset(to)(b) = x hat(i) + ...

    Text Solution

    |

  3. If the points (1,1,2),(2,1,p),(1,0,3) and (2,2,0) are co-planar then ...

    Text Solution

    |

  4. If the points A, B, C and D with position vectors overset(^)i+overset(...

    Text Solution

    |

  5. If aoverset(^)i+overset(^)j+overset(^)k,overset(^)i-boverset(^)j+overs...

    Text Solution

    |

  6. If the given vectors (-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac) and (a^2+a...

    Text Solution

    |

  7. If bara,barb,barc are non-zero, non collinear vectors, then the vector...

    Text Solution

    |

  8. Given vectors bara,barb,barc such that bara.(barbxxbarc)=lambda!=0 the...

    Text Solution

    |

  9. For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(bar...

    Text Solution

    |

  10. If bara,barb and barc are three non-coplanar vectors, then : (bara + b...

    Text Solution

    |

  11. If bar r=l(bar b xx bar c)+m(bar c xx bar a)+n(bar a xx bar b) and [...

    Text Solution

    |

  12. The volume of parallelopiped with vector bara+2barb-barc,bara-barb and...

    Text Solution

    |

  13. If the volume of parallelopiped with coterminus edges -poverset(^)i+5k...

    Text Solution

    |

  14. If the volumes of tetrahearon where vertices (1,2,0),(2,0,4),(-1,2,0) ...

    Text Solution

    |

  15. If D is the mid -point of side AB of DeltaABC, then bar(AB) + bar(BC)...

    Text Solution

    |

  16. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  17. If G and Gprime are the centroids of the triangle ABC and AprimeBprime...

    Text Solution

    |

  18. If S is circumcentre, O is orthocentre of DeltaABC, then vec(SA)+vec(...

    Text Solution

    |

  19. If A(-3,-2,0),B(3,-3,1) and C(5,0,2) are three successive vertices of...

    Text Solution

    |

  20. In a trapezium, if the vectors bar(BC)=lambda(AD),barP=bar(AC)+bar(BD)...

    Text Solution

    |