Home
Class 12
MATHS
For any two vectors vec a and vec b, whi...

For any two vectors `vec a and vec b`, which of the following is not true ?

A

`|vec a+ vecb| le |vec a|+|vec b|`

B

`|vec a- vecb| le |vec a|+|vec b|`

C

`|vec a- vecb| ge ||vec a|-|vec b||`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

For any vector, vec a , vec a xx vec a

For any two vectors vec a and vec b , prove that (vec a* vec b)^ 2 le |quad vec a|^2|quad vec b|^2 .

If vec a and vec b are two collinear vectors then which of the following are incorrect :

Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- vec c=0. If the area of triangle formed by vectors vec a and vec b is A , then what is the value of 4A^2?

Incase of each of the following statements, state whether it is true or false : For any two non-zero vectors vec a and vec b , (vec a- vecb)^2 = (vec a)^2 +(vec b)^2 - 2vec a*vec b

If for any two vectors vec a and vec b , (vec a+ vec b)^2 +(vec a - vecb)^2 =λ {(vec a)^2 +(vec b)^2}, then write the value of λ .

Incase of each of the following statements, state whether it is true or false For any two non-zero vectors vec a and vec b , (vec a+vecb)^2 = (vec a)^2 +(vec b)^2 +2vec a . vec b

For any three vectors vec a,vec b and vec c , show that vec a- vec b,vec b- vec c and vec c- vec a are coplanar.

The angle between two vectors vec a and vec b with Magnitudes sqrt3 and 4 respectively and vec a*vec b= 2 sqrt3 is

If θ is the angle between two proper vectors vec a and vec b , then vec a*vec b lt 0 then

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat kand v...

    Text Solution

    |

  2. Find the angle between the vectors hat i-hat j and hat j-hat k.

    Text Solution

    |

  3. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

    Text Solution

    |

  4. If vec a * vec a=0 thenvec a is a

    Text Solution

    |

  5. If vec a and vec b are proper vectors such that vec b= λ veca for some...

    Text Solution

    |

  6. For any two vectors vec a and vec b, which of the following is not tru...

    Text Solution

    |

  7. The area of the parallelogram whose adjacent sides are hat i+hat k and...

    Text Solution

    |

  8. If the vectors from the origin to the points A and B are . vec a= a ha...

    Text Solution

    |

  9. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

    Text Solution

    |

  10. Direction cosines of hat i are ‘

    Text Solution

    |

  11. The vectors -2 hat i+hat j +2 hatk, hat i+ λ hat j- hatk, 2hat i- hat...

    Text Solution

    |

  12. If vec a,vec b,vec c are unit vectors such that vec a+vec b+ vec c= ve...

    Text Solution

    |

  13. If |vec a|=8, |vec b|=3 and |vec axx vec b|=12, then the value of vec ...

    Text Solution

    |

  14. If the vectors 2hat j +hat k and 3 hat i- hat j +4 hatk represent the ...

    Text Solution

    |

  15. (hat i+hatj) xx (hat j+ hatk)*(hat k+ hat i) is equal to

    Text Solution

    |

  16. If vec a, vec b and sqrt(3)veca-vec b are Unit Vectors, then the angle...

    Text Solution

    |

  17. If |vec a|=8, |vec b|=3 and |vec axx vec b|=12, then the value of vec ...

    Text Solution

    |

  18. If ABC is any triangle and D is the midpoint of side [BC], then vec (...

    Text Solution

    |

  19. If vec b is a non-zero vector, then projection of vec a on vec b is

    Text Solution

    |

  20. If vec a is a unit vector Perpendicular to the vectors vec b= hat i -h...

    Text Solution

    |