Home
Class 12
MATHS
Find a vector of magnitude sqrt(171) whi...

Find a vector of magnitude `sqrt(171)` which is perpendicular to both of the vectors ` vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=3 hat i- hat j+2 hat kdot`

Text Solution

Verified by Experts

The correct Answer is:
`pm (hat(i)-11hat(j)+7hat(k))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.1)|5 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.2)|19 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|10 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Find a vector of magnitude 6 which is perpendicular to both the vectors vec(a)= 4 hat(i)-hat(j) + 3 hat(k) and vec(b) = -2 hat(i) + hat(j)- 2 hat(k).

Find angle between the vectors vec a=hat i+hat j-hat k and vec b=hat i-hat j+hat k

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

Find the angel between the vectors vec a=hat i-hat j+hat k and vec b=hat i+hat j-hat k

Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

Find a vector of magnitude 49, which is perpendicular to both the vectors 2hat i+3hat j+6hat k and 3hat i-6hat j+2hat k. Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

Find a unit vector perpendicular to the lane containing the vectors vec a=2hat i+hat j+hat k and vec b=hat i+2hat j+hat k

Determine a unit vector whoch is perpendicular to both vec A =2 hat I + hat j + hat k and vec B = hat I - hat j +2 hat k .

Find a vector of magnitude 5 units,and parallel to the resultant of the vectors vec a=2hat i+3hat j-hat k and vec b=hat i-2hat j+hat k

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (D. Very Short Answers Type Questions)
  1. For what value of 'a' the vectors : 2hat(i)-3hat(j)+4hat(k) and a h...

    Text Solution

    |

  2. Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n ...

    Text Solution

    |

  3. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

    Text Solution

    |

  4. Find the position vector of the point, which divides the join of point...

    Text Solution

    |

  5. If |vec(a).vec(b)|=|vec(a)xx vec(b)|, find the angle between vec(a) an...

    Text Solution

    |

  6. Obtain the dot product of the vectors : vec(a)=hat(i)-hat(j)+hat(k) ...

    Text Solution

    |

  7. Write the magnitude of the vector vec(a) in terms of dot product.

    Text Solution

    |

  8. Let vec(a)=(2hat(i)+3hat(j)+2 hat(k)) and vec(b)=(hat(i)+2hat(j)+hat(k...

    Text Solution

    |

  9. Evaluate : (3vec(a)-5vec(b)).(2vec(a)+7vec(b)).

    Text Solution

    |

  10. If vec a is a unit vector and (vec x - vec a).(vec x + vec a)=8, then ...

    Text Solution

    |

  11. Find the angle between hat(i)+hat(j)+hat(k) and hat(i)+hat(j)-hat(k).

    Text Solution

    |

  12. Find the angle between vec(a) and vec(b) such that : |vec(a)|=sqrt(2...

    Text Solution

    |

  13. The position vectors of three vectors A, B and C are given to be hat(i...

    Text Solution

    |

  14. Find 'lambda' when the vectors : vec(a)=2hat(i)+lambda hat(j)+hat(k) ...

    Text Solution

    |

  15. If vec(a) and vec(b) are perpendicular vectors, |vec(a)+vec(b)|=3 and ...

    Text Solution

    |

  16. Find the magnitude of each of the two vectors veca and vec b having th...

    Text Solution

    |

  17. Find lambda if (2 hat i+6 hat j+14 hat k)x\ ( hat i-\ lambda hat j+7 h...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Find the value of 'lambda' such that the vectors : 3hat(i)+lambda hat(...

    Text Solution

    |