Home
Class 12
MATHS
Find the angle between two vectors vec a...

Find the angle between two vectors `vec a` and `vec b` with magnitudes 1 and 2 respectively and when `vec a. vec b=1` .

A

3

B

`(pi)/(2)`

C

`(pi)/(3)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|17 Videos

  • VECTOR ALGEBRA

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

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise EXERCISE 10 (j) Long Answer Type Questions (II)|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Find the angle between two vectors vec a\ a n d\ vec b with magnitudes 1\ a n d\ 2 respectively and when | vec axx vec b|=sqrt(3)dot

Find the angle between two vectors vec a and vec b with magnitudes sqrt(3) and 2 respectively and such that vec a.vec b=sqrt(6)

Find the angle between two vectors vec(a) and vec(b) with magnitudes 1 and 2 respectively and |vec(a) xx vec(b)|= sqrt(3).

What is the angle between vectors vec a and vec b with magnitudes 2 and 3 respectively? Given vec avec b=sqrt(3)

Find the angle between two vectors vec a and and with magnitudes 1and 2respectively and with magnitudes 1and 2respectively and when quad vec a*vec b=1

Find the angle between two vectors vec a and vec b, if |vec a xxvec b|=vec avec b

Find the angle between two vectors vec a and vec b, if |vec a xxvec b|=vec a*vec b

Find the angle between two vectors vec a and vec b,quad if :|vec a|=3,|vec b|=3 and vec avec b=1

Find the angle between two vectors vec(a) and vec(b) such that : |vec(a)|=sqrt(3), |vec(b)|=2 and vec(a).vec(b)=sqrt(6) .

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.

MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (A. Multiple Choice Questions)
  1. If vec(a)=hat(i)+2hat(j), then |vec(a)| is :

    Text Solution

    |

  2. Direction - cosines of vec(a)=hat(i)+hat(j)-2hat(k) are :

    Text Solution

    |

  3. If p hat(i)+3hat(j) is a vector of magnitude 5, then the value of p is...

    Text Solution

    |

  4. If is the angle between any two vectors vec a and vec b , t...

    Text Solution

    |

  5. The inequality |vec(a).vec(b)|le |vec(a)||vec(b)| is called :

    Text Solution

    |

  6. The vectors vec(a) and vec(b) are perpendicular if :

    Text Solution

    |

  7. Find the angle between two vectors vec a and vec b with magnitudes 1 a...

    Text Solution

    |

  8. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot ve...

    Text Solution

    |

  9. The angle between the vectors : vec(a)=hat(i)+2hat(j)-3hat(k) and 3...

    Text Solution

    |

  10. The D.C.'s of the vector hat(i)+2hat(j)+3hat(k) are :

    Text Solution

    |

  11. If vec(a)=2hat(i)+2hat(j)+3hat(k), then its magnitude is :

    Text Solution

    |

  12. If vec(a) and vec(b) are unlike vectors, then the angle between them i...

    Text Solution

    |

  13. The angle between the vectors hat(i)-hat(j) and hat(j)+hat(k) is :

    Text Solution

    |

  14. If vec(a).vec(b)=|vec(a)xx vec(b)|, then angle between vector vec(a) a...

    Text Solution

    |

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

    Text Solution

    |

  16. If the angle between two vectors vec(a) and vec(b) is zero, then :

    Text Solution

    |

  17. The projection of vector vec(a)=2hat(i)+3hat(j)+2hat(k) on vec(b)=hat(...

    Text Solution

    |

  18. If the vectors 5hat(i)+2hat(j)-hat(k) and lambda hat(i)-hat(j)+5hat(k...

    Text Solution

    |

  19. Let the vectors vec a and vec b be such that | vec a|=3 and | ...

    Text Solution

    |

  20. Which of the following is true ?

    Text Solution

    |