Home
Class 12
MATHS
Write a vector of magnitude 9 units in t...

Write a vector of magnitude 9 units in the direction vector `-2hat(i)+hat(j)+2hat(k)`.

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

Find the component of hat(a) in the direction of vector hat(i)+hat(j)+2hat(k) .

Find a unit vector in the direction of 2 hat i + 3 hat j + hat k .

Write the direction cosine of a vector vec(a)=-2hat(i)+hat(j)-5hat(k) .

Find the unit vector in the direction of 3 hat i- 6 hat j- 2 hat k .

Find a vector of magnitude 15, which is perpendicular to both the vectors (4hat(i) -hat(j)+8hat(k)) and (-hat(j)+hat(k)).

Find the unit vector in the direction of 12 hat i- 5 hat k .

Find a vector of magnitude 6 units which is at right angles to both the vectors 2 hat i- hat j +2 hat k and 4 hat i- hat j+3 hat k

Find the vector and cartesion equation of the line through the point with position vector 2hat(i)-hat(j)+3hat(k) and in the direction of hat(i)+2hat(j)-hat(k)

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find λ if the vector λ (hat i+ hat j+ hat k) is a unit vector.

    Text Solution

    |

  2. If vec a and vec b are non-zero vectors and the angle θ between them i...

    Text Solution

    |

  3. Write a vector of magnitude 9 units in the direction vector -2hat(i)+h...

    Text Solution

    |

  4. If θ is the angle between two non-zero vectors vec a and vec b , then ...

    Text Solution

    |

  5. If the vectors 3hat i+2 hat j+9 hat k and hat i-2p hat j+3 hat k are p...

    Text Solution

    |

  6. If for any two vectors vec a and vec b, (vec a+ vec b)^2 +(vec a - vec...

    Text Solution

    |

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

    Text Solution

    |

  8. If vec a* vec a =0 and vec a* vec b =0, then what can be concluded abo...

    Text Solution

    |

  9. If vec (PQ) =3 hat i+3 hat j+6 hat k and Q is the point (4, 5, 6), fin...

    Text Solution

    |

  10. Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+...

    Text Solution

    |

  11. If (vec a+ vec b)*(vec a- vec b)=0 and |vec a|=5, find |vec b|.

    Text Solution

    |

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

    Text Solution

    |

  13. What is the angle between two unlike parallel vectors ?

    Text Solution

    |

  14. If vectors vec a and vec b, are such that |vec a| =3,|vec b| =2/3 and ...

    Text Solution

    |

  15. Find the sum of vectors vec a= 2 hati -hat j +hat k and vec b = 2 hat ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find a unit vector in the direction of vec(PQ) . where P and Q have co...

    Text Solution

    |

  19. Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +...

    Text Solution

    |

  20. Find a vector of magnitude 11 in the direction opposite to that of vec...

    Text Solution

    |