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

Find the angle between two vectors `vec(a)` and `vec(b)` with magnitude 2 and 1 respectively, such that `vec(a).vec( b)= sqrt(3)` ​ .

Text Solution

Verified by Experts

Given `veca. vecb`= 3 ​
`∣ veca∣=2` and `∣ vecb∣=1`
Let `θ` be the angle between ...
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT|Exercise EXERCISE 10.2|19 Videos
  • VECTOR ALGEBRA

    NCERT|Exercise MISCELLANEOUS EXERCISE|19 Videos
  • VECTOR ALGEBRA

    NCERT|Exercise Exercise 10.5|7 Videos
  • THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise QUESTION|1 Videos

Similar Questions

Explore conceptually related problems

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).

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

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

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

Writhe the angle between two vectors vec a and vec b backslash with magnitudes sqrt(3) and 2 repsectively having vec avec b=sqrt(6)

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, if |vec a xxvec b|=vec avec b

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

NCERT-VECTOR ALGEBRA-SOLVED EXAMPLES
  1. If veca=5 hat i- hat j-3 hat kand vecb= hat i+3 hat j-5 hat kthen sh...

    Text Solution

    |

  2. Find angle thetabetween the vectors veca= hat i+ hat j- hat kand ...

    Text Solution

    |

  3. Find the angle between two vectors vec(a) and vec(b) with magnitude 2 ...

    Text Solution

    |

  4. Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat...

    Text Solution

    |

  5. Consider two points P and Q with position vectors vec( O P)=3 vec( a)...

    Text Solution

    |

  6. Find the vector joining the points P(2, 3, 0)and Q( 1, 2, 4)directed...

    Text Solution

    |

  7. Find the unit vector in the direction of the sum of the vectors, vec...

    Text Solution

    |

  8. Write the direction ratios of the vector -> a= hat i+ hat j-2 hat ...

    Text Solution

    |

  9. Represent graphically a displacement of 40 km, 30owest of south.

    Text Solution

    |

  10. Classify the following measures as scalars and vectors.(i) 5 seconds...

    Text Solution

    |

  11. In Figure, which of the vectors are: (i) Collinear (ii) Equal (iii) C...

    Text Solution

    |

  12. Find the values of x, y and z so that the vectors vec a=x hat i+2 hat...

    Text Solution

    |

  13. Let vec a= hat i+2 hat jand vecb=2 hat i+ hat j. Is | vec a|=| vec b...

    Text Solution

    |

  14. Find unit vector in the direction of vector vec a=2 hat i+3 hat j+ ha...

    Text Solution

    |

  15. Find a vector in the direction of vector vec a= hat i-2 hat jthat has...

    Text Solution

    |

  16. If with reference to the right handed system of mutually perpendicula...

    Text Solution

    |

  17. Find | vec a xx vec b|,if vec a=2 hat i+ hat j+3 hat k and vec b=3 h...

    Text Solution

    |

  18. Find a unit vector perpendicular to each of the vectors ( veca+ vecb)...

    Text Solution

    |

  19. For any two vectors vec a and vec b, we always have |vec a+ vec b|<=|v...

    Text Solution

    |

  20. Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 h...

    Text Solution

    |