Home
Class 12
MATHS
Find 'lambda' so that the four points wi...

Find `'lambda'` so that the four points with position vectors `-hati+3hatj+2hatk,3hati+lambda hatj+4hatk,5hati+7hatj+3hatk` and `-13hati+17hatj-hatk` are coplanar.

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 with position vectors 4hati+8hatj+12hatk,2hati+4hatj+6hatk,3hati+5hatj+4hatk and 5hati+8hatj+5hatk are coplanar.

Using scalar triple product, show that the four points given by position vectors : 2hati+3hatj+2hatk,4hati-5hatk,3hati+hatj-2hatk and 5hati+3hatj-4hatk are coplanar.

Show that the four points A,B,C and D with position vectors 4hati+5hatj+hatk,-(hatj+hatk),(3hati+9hatj+4hatk) and 4(-hati+hatj+hatk) respectively are coplanar.

Using scalar triple product, show that the four points given by position vectors hati+hatj+10hatk , 2hati+3hatj+11hatk , 3hati+2hatj+6hatk and hati-2hatj+4hatk are coplanar.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors -hatj+hatk , 2hati-hatj-hatk , hati+hatj+hatk and 3hatj+3hatk are coplanar.

Using scalar triple product prove that the four points whose position vectors are given by the vectors , 4hati-2hatj+hatk , 5hati+hatj+6hatk , 2hati+2hatj-5hatk and 3hati+5hatj are coplanar.

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5hatk, hati+2hatj-3hatk and 2hati-hatj+hatk are coplanar.

MODERN PUBLICATION-VECTORS-Exercise
  1. Find 'lambda' so that the four points with position vectors -hati+3hat...

    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

    |