Home
Class 12
MATHS
If vec a=3 hat i-2 hat k and vec b=- ...

If ` vec a=3 hat i-2 hat k` and ` vec b=- hat i+3 hat k ,` find `| veca xx vecb|`

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

If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec a-2 vec b|dot

If vec a= hat i+3 hat j-2 hat k\ a n d\ vec b=- hat i+3 hat k ,\ find \ | vec axx vec b|dot

If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , find ( vec a+2 vec b)xx(2 vec a- vec b)dot

If vec a=3 hat i- hat j-2 hat k\ a n d\ vec b=2 hat i+3 hat j+ hat k ,find ( vec a+2 vec b)xx(2 vec a- vec b)dot

If vec a= hat i-2 hat j+3 hat k , and vec b=2 hat i+3 hat j-5 hat k , then find vec ax vec b . Verify that vec a and vec ax vec b are perpendicular to each other.

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

If vec a=2 hat i+ hat k ,\ vec b= hat i+ hat j+ hat k , find the magnitude of vec axx vec bdot

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

if vec a = 2 hat i- 3 hat j+hat k and vec b = hat i+2 hat j- 3hat k then vec aXvec b is

Find vec adot vec b , when (i) vec a= hat i-2 hat j+ hat k and vec b=4 hat i-4 hat j+7 hat k (ii) vec a = hat j +2 hat k and vec b = 2 hat i+ hat k (iii) vec a= hat j-hat k and vec b = 2 hat i+3 hat j-2 hat k

RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. Find a vector of magnitude 49, which is perpendicular to both the v...

    Text Solution

    |

  2. If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , ...

    Text Solution

    |

  3. If vec a=3 hat i-2 hat k and vec b=- hat i+3 hat k , find | veca x...

    Text Solution

    |

  4. Using vectors: Prove that if a,b,care the lengths of three sides of a ...

    Text Solution

    |

  5. Prove by vector method that the parallelogram on the same base and ...

    Text Solution

    |

  6. If D ,E ,F are the mid-points of the sides B C ,C Aa n dA B respective...

    Text Solution

    |

  7. Let vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r...

    Text Solution

    |

  8. A B C D is quadrilateral such that vec A B= vec b , vec A D= vec d , ...

    Text Solution

    |

  9. If veca , vec b , vec c are three vectors such that veca+ vec b+ vec...

    Text Solution

    |

  10. Prove that the normal to the plane containing three points whose po...

    Text Solution

    |

  11. If vec axx vec b= vec axx vec c , vec a!= vec0a n d vec b!= vec c , s...

    Text Solution

    |

  12. For any two vectors vec aa n d vec b , show that (1+| vec a|^2)(1+| v...

    Text Solution

    |

  13. If veca , vec b , vec c are the position vectors of the vertices A ,B ...

    Text Solution

    |

  14. For any three vectors veca , vec b , vec c show that vecaxx( vec b+ ...

    Text Solution

    |

  15. Show that perpendicular distance of the point vec c from the line joi...

    Text Solution

    |

  16. Prove that the points A ,Ba n d C with position vectors vec a , vec b...

    Text Solution

    |

  17. Let vec a , vec b , vec c are three non-zero vectors such that vec a...

    Text Solution

    |

  18. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot\...

    Text Solution

    |

  19. If vec a , vec b , vec c are three vectors such that | vec a+ vec b+ ...

    Text Solution

    |

  20. Let vec a=2 hat i+ hat k , vec b= hat i+ hat j+ hat ka n d vec c=4 ha...

    Text Solution

    |