Home
Class 11
PHYSICS
what is the dot product of two vectors o...

what is the dot product of two vectors of magnitudes 3 and 5,if angle between them is `60^@`?

A

5.2

B

7.5

C

8.4

D

8.6

Text Solution

Verified by Experts

The correct Answer is:
B
`A.B = AB cos theta`
`=(3)(5) cos 60^@ = 7.5`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    DC PANDEY|Exercise Subjective|24 Videos

  • VECTORS

    DC PANDEY|Exercise Example|39 Videos

  • VECTORS

    DC PANDEY|Exercise Exercise 5.3|4 Videos

  • UNITS, DIMENSIONS & ERROR ANALYSIS

    DC PANDEY|Exercise Medical entrances gallery|32 Videos

  • WAVE MOTION

    DC PANDEY|Exercise Integer Type Question|11 Videos

Similar Questions

Explore conceptually related problems

What is the dot product of two vectors of magnitude 3 and 5, if the angle between them is 60^(@) ?

The magnitude of the resultant of two vectors of magnitudes 5 and 3 is 2. What is the angle between the two vectors ?

Let veca and vecb be two vectors of the same magnitude such that the angle between them is 60^(@) and veca.vecb =8. Find |veca| and |vecb| .

The dot product of two vectors of magnitudes 3 units and 5 units cannot be :- (i) -20 (ii) 16 (iii) -10 (br) 14

Square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is :

Square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is

Square of the resultant of two forces of equal magnitude is equal to three times the product of their magnitude. The angle between them is

For the resultant of two vectors to be maximum , what must be the angle between them ?

A resultant of 60 N is produced due to two forces having magnitudes in the ratio 4:5 Calculate the magnitude of each if the angle between them is 30^(@)

DC PANDEY-VECTORS-Single Correct
  1. Minimum numbar of vectors of unequal magnitudes which can give zore re...

    Text Solution

    |

  2. which one of the following statement is false ?

    Text Solution

    |

  3. what is the dot product of two vectors of magnitudes 3 and 5,if angle ...

    Text Solution

    |

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

    Text Solution

    |

  5. A vector vecA points vertically upward and vecB points towards north. ...

    Text Solution

    |

  6. The magnitude of the vectors product of two vectors |vecA| and |vecB| ...

    Text Solution

    |

  7. A force (3hati+4hatj) newton acts on a boby and displaces it by (3hati...

    Text Solution

    |

  8. The torque of force F =(2hati-3hatj+4hatk) newton acting at the point ...

    Text Solution

    |

  9. If a unit vector is represented by 0.5hati + 0.8hatj + chatk the value...

    Text Solution

    |

  10. Two vectors of equal magnitudes have a resultant equle to either of th...

    Text Solution

    |

  11. If a vector 2hati +3hatj +8hatk is perpendicular to the vector 4hati -...

    Text Solution

    |

  12. The angle between the two vectors A=3 hati+4hatj+5hatk and B=3hati+hat...

    Text Solution

    |

  13. Maximum and minimum values of the resultant of two forces acting at a ...

    Text Solution

    |

  14. if the vectors P = alphahati+alphaj+3hatk and Q = alphahati - 2 hatj -...

    Text Solution

    |

  15. The (x,y,z) co -ordinates of two points A and B are give respectively ...

    Text Solution

    |

  16. A vector is not changed if

    Text Solution

    |

  17. Which of the sets given below may represent the magnitudes of three ve...

    Text Solution

    |

  18. The resultant of vecA and vecB makes an angle alpha with vecA and beta...

    Text Solution

    |

  19. The angles which the vector A=3hati + 6hatj+2hatk makes with the co-or...

    Text Solution

    |

  20. Unit vector parallel to the resultant of vectors A = 4hatj - 3hatj and...

    Text Solution

    |