Home
Class 12
MATHS
Find the angle between the vectors" " ...

Find the angle between the vectors`" " oversetrarra=overset^^i+overset^^j-overset^^k " and "oversetrarrb=overset^^i-overset^^j+overset^^k`

Text Solution

Verified by Experts

`cos theta=(veca.vecb)/(ab)= (1-1-1)/(sqrt3 sqrt3)=(-1)/3`
`theta=cos^(-1)(-1)/3)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSTIONAL GEOMETRY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|97 Videos
A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Show that the points A(-2overset^^i+3overset^^j +5overset^^k),B(over...

    Text Solution

    |

  2. Find the projection of the vector oversetrarra =2overset^^i+overset^^j...

    Text Solution

    |

  3. Find the angle between the vectors" " oversetrarra=overset^^i+over...

    Text Solution

    |

  4. Find |oversetrarra-oversetrarrb| if two vectors" " oversetrarra" an...

    Text Solution

    |

  5. If oversetrarra is a unit vector and (oversetrarrx-oversetrarra) .(ove...

    Text Solution

    |

  6. Express 2overset^^i-overset^^j+3overset^^k as the sum of a vector para...

    Text Solution

    |

  7. Consider the vectors oversetrarra=2overset^^i+3overset^^j+overset^^k "...

    Text Solution

    |

  8. Consider the vectors oversetrarra=2overset^^i+3overset^^j+moverset^^k ...

    Text Solution

    |

  9. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

    Text Solution

    |

  10. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

    Text Solution

    |

  11. Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j. Show that veca+vecb an...

    Text Solution

    |

  12. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=...

    Text Solution

    |

  13. Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overse...

    Text Solution

    |

  14. Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset...

    Text Solution

    |

  15. Consider the vectorsoversetrarra=2overset^^i-3overset^^j+overset^^k" ...

    Text Solution

    |

  16. Suppose oversetrarra =a1overset^^i+a2overset^^j+a3overset^^k " ".Find...

    Text Solution

    |

  17. Given that A,B,C are the points(2,1,-1),(3,2,-1)and(3,1,0).Find overse...

    Text Solution

    |

  18. Find the angle between two vectorsoversetrarra"and"oversetrarrb with m...

    Text Solution

    |

  19. Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"...

    Text Solution

    |

  20. Find the projection of the vector 'hati-hatj' on the vector 'hati+hatj...

    Text Solution

    |