Home
Class 11
PHYSICS
Determine the unit vector along the vect...

Determine the unit vector along the vector `vecA=hati+3hatj+4hatk`.

Text Solution

Verified by Experts

The unit vector ,
`hatA=(vecA)/(|vecA|)=(hati+3hatj+4hatk)/(sqrt(1^2+3^2+4^2))=1/sqrt(26) hati+3/sqrt(26)hatj+4/sqrt(26)hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (WBJEE)|6 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIVE WITH SOLUTIONS (AIPMT)|3 Videos
  • VECTOR

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Integer answer type)|2 Videos
  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos
  • VISCOSITY AND SURFACE TENSION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

Similar Questions

Explore conceptually related problems

Determine the value of n so that the vectors vecA=2hati+4hatj-nhatk and vecB=3hati-4hatj+2hatk are perpendicular .

Find a unit vector in the direction of veca= 3hati-2 hatj + 6hatk

Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

Calculate the unit vector along vecA=3hati+4hatj-hatk .

Find unit vector in the direction of vector veca=2hati+3hatj+hatk

Prove that a right angled triangle can be formed using the vectors vecA=hati-3hatj+5hatk, vecB=2hati+hatj-4hatk and vecC=3hati-2hatj+hatk .

Find the unit vector in the direction of the sum of vectors , veca=2hati+2hatj-5hatkandvecb=2hati+hatj+3hatk .

Find the projection of the vector veca=2hati+3hatj+2k on the vector vecb=hati+2hatj+hatk .

find the projection of the vector hati-3hatj-7hatk on the vector 7hati-hatj-8 hatk

CHHAYA PUBLICATION-VECTOR-EXAMINATION ARCHIVE WITH SOLUTIONS (WBCHSE)
  1. The angle subtended by the vector vecA=sqrt(3) hati-hatj with the y-a...

    Text Solution

    |

  2. Two non-collinear unit vector hata and hatb are such that |hata+hatb|=...

    Text Solution

    |

  3. The ratio between the values of cross product and dot product of two ...

    Text Solution

    |

  4. (2hati+hatj-hatk) N force is acting on a body of 10 kg mass, if the bo...

    Text Solution

    |

  5. A body is projected with initial velocity u making an angle theta with...

    Text Solution

    |

  6. If vecA+vecB+vecC=0 then show that vecAxxvecB=vecBxxvecC=vecCxxvecA.

    Text Solution

    |

  7. If vecA*vecB=|vecAxxvecB| then the angle between vecA and vecB is

    Text Solution

    |

  8. vecaxxvecb is not equal to vecbxxveca. Why ?

    Text Solution

    |

  9. Find a unit vector which is perpendicular to both vecA=3hati+hatj+2hat...

    Text Solution

    |

  10. Determine the relation between the kinetic energy of a projectile at m...

    Text Solution

    |

  11. What is null vector ?

    Text Solution

    |

  12. Which quantity remains unchanged in case of a projectile ?

    Text Solution

    |

  13. Determine the unit vector along the vector vecA=hati+3hatj+4hatk.

    Text Solution

    |

  14. At what angle should the two forces (vecA+vecB) and (vecA-vecB) act so...

    Text Solution

    |

  15. What do you mean by relative velocity ?

    Text Solution

    |

  16. If vecA =0.4hati+0.3hatj+chatk be a unit vector , then what is the v...

    Text Solution

    |

  17. Find the angle between the two vectors vecA =hati-2hatj+3hatk and vec...

    Text Solution

    |

  18. A particle is projected with an initial velocity u, making an angle th...

    Text Solution

    |

  19. What are the quantities that remain constant during the motion of the ...

    Text Solution

    |