Home
Class 12
MATHS
Let vec a and vec b be two unit vectors ...

Let `vec a and vec b` be two unit vectors and `θ` is the angle between them. Then `vec a+vec b` is a unit vector if

A

`θ = pi/4`

B

`θ = pi/3`

C

`θ = pi/2`

D

`θ = 2pi/3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

If vec a and vec b are unit vectors and theta is the angle between them, show that (sin theta/2=1/2|vec a - vec b | .

If vec a and vec b are non-zero vectors and the angle θ between them is given by cos θ= k/(|vec a||vec b|) then write the value of k.

Let the vectors vec and vec b be such that |vec a|= 3 and |vec b|= sqrt2/3 , then vec a xx vec b is a unit vector if the angle between vec a and vec b is

Let the vectors vec a and vec b be such that | vec a|=3 and | vec b|=(sqrt(2))/3, then ,vec axx vec b is a unit vector, if the angel between vec a and vec b is?

If vec a, vec b and sqrt(3)veca-vec b are Unit Vectors, then the angle between vec a and vec b is .........

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

If vectors vec a and vec b , are such that |vec a| =3,|vec b| =2/3 and vec a xx vec b is a unit vector, then find the angle between vec a and vec b .

If vec a , vec b , vec c are unit vectors such that vec adot vec b=0= vec adot vec c and the angle between vec ba n d vec c is pi//3 , then the value of | vec axx vec b- vec axx vec c| is 1//2 b. 1 c. 2 d. none of these

If |vec a|=10, and |vec b|=2 and vec a* vec b =12 , find angle between the two vectors

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Prove that (vec a+vec b)* (vec a+ vec b)=|vec a|^2 +|vec b|^2, if and ...

    Text Solution

    |

  2. If θ is the angle between two vectors vec a and vec b, then vec a*vec ...

    Text Solution

    |

  3. Let vec a and vec b be two unit vectors and θ is the angle between the...

    Text Solution

    |

  4. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

    Text Solution

    |

  5. If theta is the angle between any two vectors vec(a) and vec(b), "then...

    Text Solution

    |

  6. If vec a is a non-zero vector, then (1/|vec a|) vec a is a..........

    Text Solution

    |

  7. If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +...

    Text Solution

    |

  8. The vector veca+vecb bisects the angle between the non collinear vecto...

    Text Solution

    |

  9. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

    Text Solution

    |

  10. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

    Text Solution

    |

  11. If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec ...

    Text Solution

    |

  12. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

    Text Solution

    |

  13. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

    Text Solution

    |

  14. If (atimesb)^(2)+(a*b)^(2)=144 and |a|=4, then find the value of |b|.

    Text Solution

    |

  15. If a non-zero vector vec a makes an angle α with positive direction o...

    Text Solution

    |

  16. The values of k, for which |k vec a| lt |vec a| and k vec a =1/2 vec a...

    Text Solution

    |

  17. The vectors vec a=3 hat i+2 hat j+2hat k and vec b=-hat i +2hat k are ...

    Text Solution

    |

  18. If vec a and vec b are any two vectors, then (vec a+ vec b)^2 +(vec a-...

    Text Solution

    |

  19. If vec(a) + vec(b) + vec(c) = 0 and |vec(a)| = 3, |vec(b)| = 5, |vec(c...

    Text Solution

    |

  20. If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1,...

    Text Solution

    |