Home
Class 12
MATHS
For any two vectors veca and vecb, prove...

For any two vectors `veca` and `vecb`, prove that : `|veca+vecb|le|veca|+|vecb|`. Also, write the name of this inequality

Text Solution

Verified by Experts

The correct Answer is:
triangle inequality
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE - III : TRUE RO FALSE QUESTIONS)|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS:|56 Videos

Similar Questions

Explore conceptually related problems

For any two vectors veca and vecb , prove that |veca.vecb|le|veca||vecb| Also write the name of this inequality.

For any two vectors vecaandvecb , prove that |veca+vecb|le|veca|+|vecb| . Also write the name of this inequality.

Prove that |veca|-|vecb| le|veca - vecb | .

For two non-zero vectors veca and vecb , write when |veca+vecb|=|veca|+|vecb| holds.

If veca*vecb=-|veca|*|vecb| , then theta= ,

If veca*vecb=-|veca||vecb| , then theta=

This ineqality |veca.vecb|le|veca||vecb| is called

If veca=-vecb , is it true that |veca|=|vecb| ?

If two vectors veca and vecb are such that : |veca|=2,|vecb|=1 and veca*vecb=1 , then find the value of (3veca-5vecb)*(2veca+7vecb) .

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

    Text Solution

    |

  2. For any two vectors veca and vecb, prove that |veca.vecb|le|veca||vec...

    Text Solution

    |

  3. For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...

    Text Solution

    |

  4. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

    Text Solution

    |

  5. If |veca|=2, |vecb|=3 and |vecc|=4 and each of them is perpendiculart...

    Text Solution

    |

  6. If |veca|=7, |vecb|=1 and |vecc|=5 and each of them is perpendicular ...

    Text Solution

    |

  7. Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectiv...

    Text Solution

    |

  8. Find the scalar projection of : veca=2hati-hatj-3hatk on vecb=3hati-5h...

    Text Solution

    |

  9. Find the scalar projection of : veca=7hati+3hatj+6hatk on vecb=5hati-2...

    Text Solution

    |

  10. Find the scalar projection of vecb on veca where : veca=2hati-2hatj+ha...

    Text Solution

    |

  11. Find the scalar projection of vecb on veca where : veca=2hati+2hatj+ha...

    Text Solution

    |

  12. Find the scalar projection of vecb on veca where : veca=2hati+2hatj-ha...

    Text Solution

    |

  13. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

    Text Solution

    |

  14. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

    Text Solution

    |

  15. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

    Text Solution

    |

  16. If veca=2hati-2hatj+hatk , vecb=2hati-hatj+4hatk , and vecc=hati+2hatj...

    Text Solution

    |

  17. Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4ha...

    Text Solution

    |

  18. With the help of vector method, prove that,cosC=(a^2+b^2-c^2)/(2ab)

    Text Solution

    |

  19. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  20. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

    Text Solution

    |