Home
Class 12
MATHS
For any two vectors vec a\ a n d\ vec ...

For any two vectors ` vec a\ a n d\ vec b ,` fin d\ `( vec axx vec b). vecbdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

Find the angle between two vectors vec a\ a n d\ vec b , if | vec axx vec b|= vec adot vec bdot

For any two vectors vec a\ a n d\ vec b prove that | vec axx vec b|^2=| (veca. veca , veca. vecb),(vecb.veca ,vecb.vecb)|

For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=| vec a|+| vec b| holds.

For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=| vec a|+| vec b| (ii) | vec a- vec b|lt=| vec a|+| vec b| (iii) | vec a- vec b|geq| vec a|-| vec b|

If theta is the angle between any two vectors vec a and vec b , then vec a. vec b=| vec axx vec b| when theta is equal to (a) 0 (B) pi/4 (C) pi/2 (d) pi

For any two vectors vec aa n d vec b , show that (1+| vec a|^2)(1+| vec b|^2)={"("1+ vec a.vec b")"^2| vec a+ vec b+( vec axx vec b)|^2

Find the angle between two vectors vec a\ a n d\ vec b ,\ if:| vec a|=3,\ | vec b|=3\ a n d\ vec adot vec b=1

For any vector vec a\ a n d\ vec b prove that | vec a+ vec b|lt=| vec a|+| vec b|dot

What can you conclude about four non zero vectors vec a ,\ vec b ,\ vec c\ a n d\ vec d given that |( vec axx vec b)dot vec c|+|( vec bxx vec c)dot vec d|=0 .

For any three vectors a,b\ a n d\ c write the value of vec axx( vec b+ vec c)+ vec bxx( vec c+ vec a)+ vec cxx( vec a+ vec b)dot

RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=3\...

    Text Solution

    |

  2. For any three vectors a,b\ a n d\ c write the value of vec axx( vec b...

    Text Solution

    |

  3. For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). v...

    Text Solution

    |

  4. Write the value of hat i( hat jxx hat k)dot

    Text Solution

    |

  5. If vec a=3 hat i- hat j+2 hat k\ a n d\ vec b=2 hat i+ hat j- hat k\...

    Text Solution

    |

  6. Write a unit vector perpendicular to hat i+ hat j\ a n d\ hat j+ hat...

    Text Solution

    |

  7. If | vec axx vec b|^2=( vec adot vec b)^2=144\ a n d\ | vec a|=4, find...

    Text Solution

    |

  8. If vec r=x hat i+y hat j+z hat k ,\ then write the value of | vec rx...

    Text Solution

    |

  9. If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is ...

    Text Solution

    |

  10. If vec a\ a n d\ vec b are two vectors such that | vec a|=| vec a...

    Text Solution

    |

  11. If vec a\ a n d\ vec b are unit vectors then write the value of | ve...

    Text Solution

    |

  12. If a is a unit vector such that vec axx hat i= hat j find veca .hati...

    Text Solution

    |

  13. If vec c is a unit vector perpendicular to the vectors vec a\ a n d\...

    Text Solution

    |

  14. Find the angle between two vectors vec a\ a n d\ vec b with magnitud...

    Text Solution

    |

  15. Vectors vec a\ a n d\ vec b are such that | vec a|=3,\ | vec b|=2/3a...

    Text Solution

    |

  16. Find lambda, if (2 hat i+6 hat j+14 hat k)xx( hat i-lambda hat j+7 hat...

    Text Solution

    |

  17. Write the value of ( hat ixx hat j)dot hat k+( hat j xx hat k)dot hat ...

    Text Solution

    |

  18. Find a vector of magnitude sqrt(171) which is perpendicular to both of...

    Text Solution

    |

  19. If vec a is any vector, then ( vec axx hat i)^2+( vec axx hat j)^2+( ...

    Text Solution

    |

  20. If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec...

    Text Solution

    |