Home
Class 12
MATHS
Show that the four points A,B,C,D with p...

Show that the four points A,B,C,D with position vectors `veca,vecb,vecc,vecd` respectively, such that `3veca-2vecb+5vecc-6vecd=vec0`, are collinear. Also find the position vector of the point of intersection of the lines Ac and BD.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos
  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Show that the four points A,B,C,D with position vectors veca*vecb*vecc*vecd respectively, are coplanar if and only if 3veca-2vecb+vecc-2vecd=vec0 .

A, B, C and D have position vectors veca, vecb, vecc and vecd , repectively, such that veca-vecb = 2(vecd-vecc) . Then

Show that points with position vectors 2veca-2vecb+3vecc,-2veca+3vecb-vecc and 6veca-7vecb+7vecc are collinear. It is given that vectors veca,vecb and vecc and non-coplanar.

For any three vectors veca,vecb,vecc show that veca-vecb,vecb-vecc,vecc-veca are coplanar.

If veca+vecb+vecc=vec0 , show that vecaxxvecb=vecbxxvecc=veccxxveca .

If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(veccxxvecd)=1 and veca.vecc=1/2, then

Three points A,B, and C have position vectors -2veca+3vecb+5vecc, veca+2vecb+3vecc and 7veca-vecc with reference to an origin O. Answer the following questions? Which of the following is true?

What can you conclude about four non-zero vectors veca,vecb,vecc and vecd , given that : [(vecaxxvecb)*vecc]+[(vecbxxvecc)*vecd]=0 ?

MODERN PUBLICATION-VECTORS-Exercise
  1. Show that the four points A,B,C,D with position vectors veca,vecb,vecc...

    Text Solution

    |

  2. Represent graphically a displacement of 40 km, 30^o west of south.

    Text Solution

    |

  3. Represent the following graphically a displacement of : 40 km, 30^@ ea...

    Text Solution

    |

  4. Represent the following graphically a displacement of : 40 km, 30^@ ea...

    Text Solution

    |

  5. Classify the following measure as scalar and vector: 10 Kg

    Text Solution

    |

  6. Classify the following measure as scalar and vector: 40^o

    Text Solution

    |

  7. Classify the following measure as scalar and vector: 2 meters north-w...

    Text Solution

    |

  8. Classify the following measure as scalar and vector:40watt

    Text Solution

    |

  9. Classify the following measure as scalar and vector: 10^(-19)coulomb

    Text Solution

    |

  10. Classify the following measure as scalar and vector: 20 m/s^2

    Text Solution

    |

  11. Classify the following measures as scalars and vectors: 1000 cm^3

    Text Solution

    |

  12. Classify the following measures as scalars and vectors: 10 N

    Text Solution

    |

  13. Classify the following measures as scalars and vectors: 30 km/h

    Text Solution

    |

  14. Classify the following as scalar and vector quantities: time period

    Text Solution

    |

  15. Classify the following as scalar and vector quantities: distance

    Text Solution

    |

  16. Classify the following as scalar and vector quantities: force

    Text Solution

    |

  17. Classify the following as scalar and vector quantities: velocity

    Text Solution

    |

  18. Classify the following as scalar and vector quantities:work done

    Text Solution

    |

  19. In the figure identify the following vectors : Co-initial.

    Text Solution

    |

  20. In the figure identify the following vectors : Equal.

    Text Solution

    |

  21. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |