Home
Class 12
MATHS
Find a vector of magnitude 5 units, and...

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

Text Solution

Verified by Experts

The correct Answer is:
`=(15)/(sqrt(10))hat(i)+(5)/(sqrt(10))hat(j)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar (Example)|3 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (a) Short Answer Type Questions|21 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

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

Find a vector 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

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

Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

The unit vector parallel to the resultant of the vectors vec(A) = hat(i) + 2 hat(j) - hat(k) and vec(B) = 2 hat(i) + 4 hat(j) - hat(k) is

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

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

Dine the unit vector peroendicular to each of the vectors 3 hat i+ hat j 2 hat k and 2 hat i- 2 hat j = 4 hat k .

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2hat i+hat j-hat k and vec b=hat i-2hat j+hat k

Find a unit vector in the direction of the resultant of the vectors hat i-hat j+3hat k,2hat i+hat j-2hat k and 3hat i+2hat j-2hat k

MODERN PUBLICATION-VECTOR ALGEBRA -Frequently Asked Questions (Example)
  1. Write the direction ratios of the vector -> a= hat i+ hat j-2 hat k a...

    Text Solution

    |

  2. Find the unit vector in the direction of the sum of the vectors : v...

    Text Solution

    |

  3. Find a vector of magnitude 5 units, and parallel to the resultant of ...

    Text Solution

    |

  4. Prove that if vec(u)=u(1)hat(1)hat(i)+u(2)hat(j) and vec(v)=v(1)hat(i)...

    Text Solution

    |

  5. Find the value of ' p ' for which the vectors 3 hat i+2 hat j+9 hat k\...

    Text Solution

    |

  6. Show that the points, A, B and C having position vectors (2hat(i)-hat(...

    Text Solution

    |

  7. The position vectors of A, B, C are 2hat(i)+hat(j)-hat(k), 3hat(i)-2ha...

    Text Solution

    |

  8. Prove that the four points having position vectors are coplanar: 2 hat...

    Text Solution

    |

  9. Show that the found points A ,B ,C ,D with position vectors vec a , v...

    Text Solution

    |

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

    Text Solution

    |

  11. If vec(a) and vec(b) are perpendicular vectors such that |vec(a)+vec(b...

    Text Solution

    |

  12. Find the projection of the vector hat i+3 hat j+7 hat k on the vector...

    Text Solution

    |

  13. Find lambda, when the projection of vec a=lambda hat i+ hat j+4 hat k...

    Text Solution

    |

  14. If vec a and vec b are two unit vectors such that vec a+ vec b is a...

    Text Solution

    |

  15. Find | vec x| , if for a unit vector vec a ,\ ( vec x-\ vec a)dot( v...

    Text Solution

    |

  16. If ā,b,c are three vectors such that |veca |= 5, |vecb| = 12 and | ...

    Text Solution

    |

  17. If vec(a) , vec(b) and vec(c ) be three vectors such that vec(a) + vec...

    Text Solution

    |

  18. Three vectors vec(A) = 2hat(i) - hat(j) + hat(k), vec(B) = hat(i) - 3h...

    Text Solution

    |

  19. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

    Text Solution

    |

  20. Find a vector vec a of magnitude 5sqrt(2) making an angle pi/4 with x-...

    Text Solution

    |