Home
Class 12
PHYSICS
The angle between vectors (hati+hatj) an...

The angle between vectors `(hati+hatj)` and `(hatj+hatk)` is :

A

`90^(@)`

B

`180^(@)`

C

`0^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
`cos theta=(vecA.vecB)/(AB)=((hati+hatj).(hatj+hatk))/(sqrt(2),sqrt(2))=(1)/(2)rArr theta=60^(@)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The angle between the vectors (hati+hatj) and (hatj+hatk) is

the angle between the vectors (hati+hatj) and (hatj+hatk) is

Assertion: The angle between the two vectors (hati+hatj) and (hatj_hatk) is (pi)/(3) radian. Reason: Angle between two vectors vecA and vecB is given by theta=cos^(-1)((vecA.vecB)/(AB))

Assertion : The angle between the two vectors (hati + hatj) and (hatj + hatk) is (pi)/(3) radian. Reason : Angle between two vectors vecA and vecB is given by theta = cos^(-1)((vecA*vecB)/( AB))

The angle between the vector 2hati+hatj+hatk and hatj ?

If hati, hatj and hatk represent unit vectors along the x, y and z-axes respectively, then the angle theta between the vectors (hati+ hatj+hatk) and (hati+hatj) is equal to :

If hati,hatj and hatk represent unit vectors along the x,y and z-axes respectively, then the angle theta between the vectors (hati+hatj+hatk) and (hati+hatj) is equal to :

If hati, hatj, hatk represent unit vectors along the X,Y, Z axes respectively, then the angle between the vectors hati+hatj + hatk and hati+hatj is equal to

The angle between vector a=2hati+hatj-2hatk and b=3hati-4hatj is equal to

ALLEN-BASIC MATHS-EXERCISE-1
  1. What is the projection of vecA on vecB ?

    Text Solution

    |

  2. What is the angle between vecA and the rsultant of (vecAhatB) and (vec...

    Text Solution

    |

  3. The angle between vectors (hati+hatj) and (hatj+hatk) is :

    Text Solution

    |

  4. The angle between two vectors given by (6hati+6hatk) and (7hati+4hatj+...

    Text Solution

    |

  5. Which of the following vector identies is false ?

    Text Solution

    |

  6. If the vectors (hati+hatj+hatk) and 3 hati form two sides of a triangl...

    Text Solution

    |

  7. Which pair of the following forces will never give resultant force of ...

    Text Solution

    |

  8. If hatn=ahati+bhatj is perpendicualr to the vector (hati+hatj), then t...

    Text Solution

    |

  9. Two force each numerically equal to 10 dynes are acting as shown in th...

    Text Solution

    |

  10. What is the component of (3hati+4hatj) along (hati+hatj) ?

    Text Solution

    |

  11. If vecA+ vecB = vecC and A+B+C=0, then the angle between vecA and vec...

    Text Solution

    |

  12. If vecA+veB is a unit vector along x-axis and vecA=hati-hatj+hatk, the...

    Text Solution

    |

  13. What is the value of (vecA+vecB),(vecAxxvecB) ?

    Text Solution

    |

  14. If vecAxxvecB=vec0 and vecBxxvecC=vec0, then the angle between vecA an...

    Text Solution

    |

  15. The resultant of vecA and vecB is perpendicular to vecA. What is the a...

    Text Solution

    |

  16. The resultant of vec(A)+vec(B) is vec(R )(1). On reversing the vector ...

    Text Solution

    |

  17. Given that A=B. What is the angle between (vecA+vecB) and (vecA-vecB) ...

    Text Solution

    |

  18. The angle between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hat...

    Text Solution

    |

  19. The forces, which meet at one point but their line of action do not li...

    Text Solution

    |

  20. What happens, when we multiply a vector by (-2) ?

    Text Solution

    |