Home
Class 12
MATHS
Show that the following vector are co-pl...

Show that the following vector are co-planar. `hati-2hatj+2hatk, 3hati+4hatj+5hatk, -2hati+4hatj-4hatk`.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati-4hatj+5hatk, 3hati+6hatj+hatk

Find the value of lambda such that the following vectors are coplanar: -hati+lambdahatj -lambdahatk, 2hati+4hatj +5hatk, -2hati+4hatj -4hatk

Find the value of lambda so that the three vectors are co-planar. hati+2hatj+3hatk, 4hati+hatj+lambdahatk and lambdahati-4hatj+hatk

Prove that the vectors 2hati-hatj+hatk , hati-3hatj-5hatk , 3hati-4hatj-4hatk are the sides of a right angled triangle.

Prove that four points with position vectors hati+hatj-3hatk, 2hati -hatj-hatk,- hati +2hatj +2hatk and 2hati +2hatk arecoplanar

Find a unit vector perpendicular to the following two vectors veca =2hati+3hatj+6hatk and vecb = 3 hati-6 hatj+2 hatk

Find the scalar triple product vecb.(veccxxveca) where veca, vecb and vecc are respectively 5hati-hatj+4hatk, 2hati+3hatj+5hatk, 5hati-2hatj+6hatk

If veca = hati+2hatj-hatk , vecb = hati+hatj+2hatk , vecc = 2hati-hatj then

Show that the vectors 4hati+4hatj+ 4hatk,7hati+6hatj-hatk and 3hati+2hatj-5hatk form a right angled triangle and find its area.

The position vectors of the points A, B, C and D are 4hati+3hatj-hatk , 5hati+2hatj+2hatk , 2hati-2hatj-3hatk and 4hati-4hatj+3hatk respectively. Show that AB and CD are parallel.

SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

    Text Solution

    |

  2. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

    Text Solution

    |

  3. Prove the following by vector method. in any triangle ABC, a = bcosC...

    Text Solution

    |

  4. Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2a...

    Text Solution

    |

  5. For veca = hat(i) + hat(j), vecb = -hat(i) + 2hat(k), vecc = hat(j) + ...

    Text Solution

    |

  6. Prove the following by vector method. The diagonals of a rhombus are a...

    Text Solution

    |

  7. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

    Text Solution

    |

  8. Find the volume of the parallelopiped whose sides are given by the vec...

    Text Solution

    |

  9. Find the value of lambda for which the three points with position vect...

    Text Solution

    |

  10. Find a unit vector perpendicular to the following two vectors veca =2...

    Text Solution

    |

  11. Find the value of lambda so that three vectors veca=2hati-hatj+hatk, ...

    Text Solution

    |

  12. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |

  13. If the vertices A,B,C of a triangle ABC are at (1,1,2),(2,2,3),(3,-1,-...

    Text Solution

    |

  14. If vecaxxvecb = vecbxxvecc ne vec0, prove that veca+vecc = mvecb, wher...

    Text Solution

    |

  15. Prove analytically : The perpendicular bisector of the sides of a tria...

    Text Solution

    |

  16. Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati...

    Text Solution

    |

  17. Prove by vector method that the medians of a triangle are concurrent.

    Text Solution

    |

  18. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  19. Prove by vector method that the medians of a triangle are concurrent.

    Text Solution

    |

  20. Show that the following vector are co-planar. hati-2hatj+2hatk, 3hati+...

    Text Solution

    |