Home
Class 11
PHYSICS
If a unit vector is respresent by 0.5hat...

If a unit vector is respresent by `0.5hati + 0.8 hatj + chatk ,` the value of c is

A

`1`

B

`sqrt(0.11)`

C

`sqrt(0.01)`

D

`sqrt(0.39)`

Text Solution

Verified by Experts

The correct Answer is:
B
`sqrt((0.5)^(2)+(-0.8)^(2)+c^(2))=1`
`rArr 0.25+0.64+c^(2)=1`
`rArr c^(2)=0.11 rArr c= +- sqrt(0.11)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-03|7 Videos

  • MISCELLANEOUS

    ALLEN|Exercise ASSERTION-REASON|18 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Part -II Example Some worked out Examples|1 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

If a unit vector is represented by 0.5hati + 0.8hatj + chatk the value of c is

If a unit vector is represented by 0.4 hati+0.7 hatj + chatk then the value of c is

If a unit vector represented by 0.5hati-0.8hatj+chatk , then the value of 'c' is :

If a unit vector is represented by 0.5 hat(i) + 0.8 hat(j) + c hat(k) , then the value of c is

A unit vector is represented by a hat I + b hat j +chatk If the value of a and b are 0.6 and 0.8 respectively find the value of c

If 0.5hati + 0.8hatj + chatk is aunit vector then c is

If ahati +bhatj is a unit vector and it is perpendicular to hati +hatj , then value of a and b is

A unit vector perpendicular to both hati + hatj and hatj + hatk is

If vecA= a hati + 0.5hatj + 0.5hatk is unit vector, then value of a would be

Given vec(A)=0.3hati+0.4hatj+chatk calculate the value of c if A is a unit vector.

ALLEN-MISCELLANEOUS-Exercise-01
  1. Let A=hatiA cos theta+hatj A sin theta be any vector .Another vector B...

    Text Solution

    |

  2. The sum of magnitudes of two forces acting at a point is 16N. If their...

    Text Solution

    |

  3. If a unit vector is respresent by 0.5hati + 0.8 hatj + chatk , the val...

    Text Solution

    |

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

    Text Solution

    |

  5. The unit vactor parallel to the resultant of the vectors vec(A)=4hat(i...

    Text Solution

    |

  6. A physcial quantity which has a direction

    Text Solution

    |

  7. Whose resultant cannot be zero?

    Text Solution

    |

  8. How many minimum numbers of a coplanar vector having different magntid...

    Text Solution

    |

  9. The resultant of two vectors vec(P) and vec(Q) is vec(R). If vec(Q) is...

    Text Solution

    |

  10. Figure show's three vectors p,q and r where C is the mid - point of AB...

    Text Solution

    |

  11. A displacement vector, at an angle of 30^(@) with y-axis has an x-comp...

    Text Solution

    |

  12. I started walking down a road today facing the rising sun. After walki...

    Text Solution

    |

  13. A bird moves from point (1 m, -2 m, 3 m) to (4 m, 2 m, 3 m). If the sp...

    Text Solution

    |

  14. Any vector in an arbitrary direction can always be replaced by two (or...

    Text Solution

    |

  15. There are two forces vector,one of 5N and other of 12N. At what angle ...

    Text Solution

    |

  16. A particle has a displacement of 12 m towards east and 5m towards nort...

    Text Solution

    |

  17. 12 coplanar non collinear forces (all of equal magnitude) maintain a b...

    Text Solution

    |

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

    Text Solution

    |

  19. If |vec(A)xx vec(B)|=sqrt(3)vec(A).vec(B) then the value of |vec(A)+ve...

    Text Solution

    |

  20. The projection of vec(A) on vec(B) is :-

    Text Solution

    |