Home
Class 12
MATHS
For any vector, vec a, vec a xx vec a...

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

A

`vec 0`

B

0

C

`|vec a|^2`

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

Incase of each of the following statements, state whether it is true or false : For any vector vec a , (vec a xxhat i) hat i + (vec a xx hat j) hat j+ (vec a xx hat k) hat k = vec a

Incase of each of the following statements, state whether it is true or false : For any two vectors vec a, vec b : |vec a*vec b| le |vec 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.

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 .

If for a vector vec a , vec a*hat i = vec a*hat j= vec a*hat k=0 , then find |vec a| .

Incase of each of the following statements, state whether it is true or false : For any vector vec a, (vec a* hat i)^2 + (vec a* hat j)^2+ (vec a* hat k)^2= (vec a)^2

Incase of each of the following statements, state whether it is true or false : For any vector vec a,( vec a* hat i)hat i +( vec a* hat j)hat j+ (vec a* hat k)hat k= vec a

If vec α and vec β are any vectors, prove that vec β * (vec α xx vec β) =0 .

For any vector vec a , prove that hat i xx (vec a xx hat i)+ hat j xx (vec a xx hat j) + hat k xx(vec a xx hat k)= 2 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 .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If θ is the angle between two proper vectors vec a and vec b, then vec...

    Text Solution

    |

  2. If vec a is any vector, then vec a*vec a

    Text Solution

    |

  3. For any vector, vec a, vec a xx vec a

    Text Solution

    |

  4. The vector having initial and terminal points as (2,5,0) and (-3,7,4) ...

    Text Solution

    |

  5. The angle between two vectors vec a and vec b with Magnitudes sqrt3 an...

    Text Solution

    |

  6. The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat kand v...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Direction cosines of hat i are ‘

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |