Home
Class 11
PHYSICS
The angle between two vectors vec(A)= 3h...

The angle between two vectors `vec(A)= 3hat(i)+4hat(j)+5hat(k)` and `vec(B)= 3hat(i)+4hat(j)+5hat(k)` is

A

`90^(@)`

B

`0^(@)`

C

`60^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`cos theta = (vec(A).vec(B))/(|A||B|)= ((3hat(i)+4hat(j)+5hat(k))(3hat(i)+4hat(j)-5hat(k)))/(sqrt(9+16+25)sqrt(9+16+25))`
`(9+16-25)/(50)=0`
`implies cos theta= 0, :. theta= 90^(@)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    A2Z|Exercise Cross Product|25 Videos

  • VECTORS

    A2Z|Exercise Problems Based On Mixed Concepts|32 Videos

  • VECTORS

    A2Z|Exercise Expressing Vectors In Unit Vector Notation|22 Videos

  • UNIT, DIMENSION AND ERROR ANALYSIS

    A2Z|Exercise Chapter Test|28 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The angle between the two Vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(B)= 3hat(i)+4hat(j)-5hat(k) will be

The angle between the two vectors, (vec(A)=3hat(i)+4hatj+5hat(k)) and (vec(B)=3hat(i)+4hat(j)-5hat(k)) will be

Find th esine of angles between vectors vec(a)= 2hat(i) - 6hat(j) - 3hat(k), and vec(b) = 4hat(i) + 3hat(j)- hat(k) ?

The sine of the angle between vectors vec(a)=2hat(i)-6hat(j)-3hat(k) and vec(b)=4hat(i)+3hat(j)-hat(k)

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

The angle between the two vectors vec A= 3 hat i + 4 hat j + 5 hat k and vec B = 3 hat i + 4 hat j + 5 hat k will be

Given two vectors vec(A) = -hat(i) + 2hat(j) - 3hat(k) and vec(B) = 4hat(i) - 2hat(j) + 6hat(k) . The angle made by (A+B) with x-axis is :

Find the sine of the angle between the vectors vec A = 3 hat i - 4 hat j + 5 hat k and vec B = hat i - hat j + hat k .

If vec(A)=-2hat(i)+3hat(j)-4hat(k)and vec(B)=3hat(i)-4hat(j)+5hat(k) then vec(A)xxvec(B) is

Find the dot product of two vectors vec(A)=3hat(i)+2hat(j)-4hat(k) and vec(B)=2hat(i)-3hat(j)-6hat(k) .

A2Z-VECTORS-Dot Product
  1. Find the angle between the Vector hat(i)+hat(j) and hat(i)-hat(j).

    Text Solution

    |

  2. The angle between two vectors given by 6hat(i)+6hat(j)-3hat(k) and 7ha...

    Text Solution

    |

  3. The angle between two vectors -2hat(i)+3hat(j)+hat(k) and 2hat(i)+2hat...

    Text Solution

    |

  4. The angle between two vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(...

    Text Solution

    |

  5. If a vector 2hat(i)+3hat(j)+8hat(k) is perpendicular to the vector 4ha...

    Text Solution

    |

  6. Given: vec(A)=Acos theta hat(i)+Asin theta hat(j). A vector vec(B), wh...

    Text Solution

    |

  7. If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat...

    Text Solution

    |

  8. The angles with a vector hat(i)+hat(j)+sqrt(2hat(k)) makes with X,Y an...

    Text Solution

    |

  9. If a vector vec(P) making angles alpha, beta, gamma respectively with ...

    Text Solution

    |

  10. If two vectors 2hat(i)+3hat(j)-hat(k) and -4hat(i)-6hat(j)-lambda hat(...

    Text Solution

    |

  11. The angle between two vectors vec(A)= 3hat(i)+4hat(j)+5hat(k) and vec(...

    Text Solution

    |

  12. If for two vectors vec(A) and vec(B), sum (vec(A)+vec(B)) is perpendic...

    Text Solution

    |

  13. The angle between the Vector (hat(i)+hat(j)) and (hat(j)+hat(k)) is

    Text Solution

    |

  14. If vec(P).vec(Q)= PQ, then angle between vec(P) and vec(Q) is

    Text Solution

    |

  15. The vector vec(P)= ahat(i)+ahat(j)+3hat(k) and vec(Q)= ahat(i)-2hat(j)...

    Text Solution

    |

  16. Consider a vector vec(F)= 4hat(i)-3hat(j). Another vector that is perp...

    Text Solution

    |

  17. At what angle must the two forces (x+y) and (x-y) act so that the resu...

    Text Solution

    |

  18. The component of vector A= 2hat(i)+3hat(j) along the vector hat(i)+hat...

    Text Solution

    |

  19. If vec(A)=2hat(i)+3hat(j)-hat(k) and vec(B)=-hat(i)+3hat(j)+4hat(k), t...

    Text Solution

    |

  20. The projection of the vector vec(A)= hat(i)-2hat(j)+hat(k) on the vect...

    Text Solution

    |