Home
Class 12
MATHS
Let vec a= 2 hat i- 2 hat j+ hat k, vec ...

Let `vec a= 2 hat i- 2 hat j+ hat k`, `vec b= 2 hat i+ 3 hat j+ 6 hat k` and `vec c=- hat i+ 2hat k`. Find the vector in the direction of `vec b- vec a- 2 vec c` and having length `2 sqrt 30`.

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

If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k then vec a + vec b is

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

If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c = hat i-2 hat j+hat k , find a unit vector parallel to the Vector 2 vec a - vecb+ 3 vec c

If vec a= hat i- 2 hat j+ hat k , vec b= 2 hat i - hat j+ hat k and vec c= hat i+ hat j- 2 hat k , compute (vec a cross vec b)* vec c .

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

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

If vec a = 7 hat i +hat j - 4 hat k and vec b=2 hat i+6 hat j +3 hat k , then find the projection of vec a on vec b .

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

If vec a= 2 hat i+ hat j- hat k , vec b= -hat i+ 2 hat j- 4 hat k and vec c= hat i+ hat j+ hat k , find (vec a * vec b)* (vec a* vec c) .

if vec a = 2 hat i - hat j+ hat k, vec b =hat i+ hat j - 2 hat k and vec c =hat i+ 3hat j - hat k , find λ such that vec a is perpendicular to λ vec b+ vec c

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Using vectors, find the value of 'k' such that the points (k,-10,3),(1...

    Text Solution

    |

  2. The sides of a parallelogram represent the vectors 2 hat i- 4 hat j+ 5...

    Text Solution

    |

  3. Let vec a= 2 hat i- 2 hat j+ hat k, vec b= 2 hat i+ 3 hat j+ 6 hat k a...

    Text Solution

    |

  4. Prove that the points whose position vectors are hat i - hat j+ hat k,...

    Text Solution

    |

  5. Prove that the vectors vec a = hat i- 2 hat j+ hat k, vec b= -2 hat i+...

    Text Solution

    |

  6. Show that the points (1,1,1),(2,-1,2),(-1,2,2) and (2,2,-1) are coplan...

    Text Solution

    |

  7. Show that the points A(4,5,1), B(0,-1,-1), C(3,9,4) and D(-4,4,4) are ...

    Text Solution

    |

  8. If vec a, vec b and vec c are non-coplanar (independent) vectors, prov...

    Text Solution

    |

  9. Find vec v underset 1 * vec v underset 2 when vec v underset 1= 4 hat ...

    Text Solution

    |

  10. Find vec v underset 1 * vec v underset 2 when vec v underset 1= (1,3,5...

    Text Solution

    |

  11. Find the angle between the vectors: vec v underset 1= hat i-2 hat j-...

    Text Solution

    |

  12. Find the angle between the vectors: vec v underset 1= (3,5,4) and ve...

    Text Solution

    |

  13. Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j-...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the value of a for which the vector 3 hat i+ 2 hat j+ 9 hat k and...

    Text Solution

    |

  16. Find the value of a for which the vector 3 hat i+ 2 hat j+ 9 hat k and...

    Text Solution

    |

  17. If (vec a)^2 =(vec b)^2, is it necessary that vec a= vec b ?

    Text Solution

    |

  18. Find the angles which the vector 3 hat i- 6 hat j+ 2 hat k makes the c...

    Text Solution

    |

  19. If vec a and vec b are two vectors such that |quad vec a + vec b|= |qu...

    Text Solution

    |

  20. If vec a and vec b are two vectors such that |quad vec a + vec b|= |qu...

    Text Solution

    |