Home
Class 12
MATHS
Find the magnitude of each of the two ve...

Find the magnitude of each of the two vectors `veca` and `vec b` having the same magnitude such that the angle between them is `60^@` and their scalar product is 9/2.

Text Solution

Verified by Experts

The correct Answer is:
3
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 the magnitude of each of the two vectors vec a and vec b having the same magnitude such that the angle between them is 60^(@) and their scalar product is 9/2 .

Find the magnitude of two vectors vec a and vec b having the same magnitude and such that the angle between them is 60^(@) and their scalar product is.

Find the magnitude of two vectors -> a and -> b having the same magnitude and such that the angle between them is 60o and their scalar product is 1/2 .

Let veca and vecb be two vectors of the same magnitude such that the angle between them is 60^(@) and veca.vecb =8. Find |veca| and |vecb| .

Let vec a and vec b be two vectors of the same magnitude such that the angle between then is 60^(0) and vec avec b=8. Find |vec a| and |vec b|

Find the magnitude and direction of the resultant of two vectors A and B in the terms of their magnitudes and angle theta between them.

Find the angle between two vectors vec a and vec b having the same length sqrt(2) and their scalar product is -1.

If the magnitudes of two vectors are 3 and 4 and magnitude of their scalar product is 6 what is the angle between the vectors ?

If the magnitude of two vectors are 4 and 6 and the magnitude of their scalar product is 12sqrt2 what is the angle between the vectors?

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

    |