Home
Class 12
PHYSICS
The angle between the two vectors vecA=3...

The angle between the two vectors `vecA=3hati+4hatj+5hatk` and `vecB=3hati+4hatj-5hatk` will be :

A

zero

B

`180^(@)`

C

`90^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

`cos theta=(vecA.vecB)/(AB)=((3hati+4hatj)+5hatk)((3hati+4hatj-5hatk))/((5sqrt(2))(5sqrt(2)))=0`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hati+4hatj-5hatk will be

The angle between the two vectors vecA=hati+2hatj-hatk and vecB=-hati+hatj-2hatk

The angle between the two vectors A=3 hati+4hatj+5hatk and B=3hati+hatj-5hatk is

Calculate the sine of the angle between the vectors vecA=3hati-4hatj+5hatk and vecB=-2hati+hatj-2hatk .

Find the sine of the angle between the vectors vec(A) = 3 hati - 4hatj +5hatk and vec(B) = hati - hatj +hatk .

Calculate the angle between the two vectors vecA=-2hati+hatj-3hatk and vecB =hati-2hatj+hatk

Find the angle 'theta' between the vector veca=2hati+3hatj-4hatk and vecb=3hati-2hatj+4hatk .

Find the angle between the vector vecr_(1)=(4hati-3hatj+5hatk) andvecr_(2)=(3hati+4hatj+5hatk) .

Find the angle between the vectors 3hati+4hatj and 2hatj-5hatk .

The unit vector parallel to the resultant of the vectors vecA=4hati+3hatj+5hatk and vecB=-hati+3hatj-8hatk is :

ALLEN-BASIC MATHS-EXERCISE-1
  1. The resultant of vec(A)+vec(B) is vec(R )(1). On reversing the vector ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If a unit vector represented by 0.8hati-0.8hatj+chatk, then the value ...

    Text Solution

    |

  7. For a body, angular velocity (vecomega)=hati-2hatj+3hatk and radius ve...

    Text Solution

    |

  8. If vecP.vecQ=PQ then angle between vecP and vecQ is

    Text Solution

    |

  9. If the sum of two unit vectors is a unit vector, then magnitude of dif...

    Text Solution

    |

  10. The magnitudes of vectors vecA.vecB and vecC are respectively 12,5 and...

    Text Solution

    |

  11. Let vecA-hatiA Cos thetahatjA Sintheta, be any vector, Another vector ...

    Text Solution

    |

  12. Force 3N, 4N and 12 N act at a point in mutually perpendicular directi...

    Text Solution

    |

  13. If vectors vecP, vecQ and vecR have magnitudes 5, 12 and 13 units and ...

    Text Solution

    |

  14. The sum of magnitudes of two forces acting at a point is 16 N. If the ...

    Text Solution

    |

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

    Text Solution

    |

  16. Given that P=Q=R. if vecP+vecQ=vecR then the angle between vecP & vecR...

    Text Solution

    |

  17. Given that vecA+vecB+vecC=0, out of three vectors two are equal in mag...

    Text Solution

    |

  18. The resultant of vecP and vecQ is perpendicular to vecP. What is the a...

    Text Solution

    |

  19. A vector of length l is turned through the angle theta about its tail....

    Text Solution

    |

  20. In the given figure, each box represents a function machine. A functio...

    Text Solution

    |