Home
Class 12
MATHS
Find the unit vector in the direction of...

Find the unit vector in the direction of vector `vec(PQ)` , where P and Q are the points (1,2,3) and (4,5,6) , respectively.

Text Solution

Verified by Experts

The correct Answer is:
`=(1)/(sqrt(3))hati+(1)/(sqrt(3))hatj+(1)/(sqrt(3))hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.3|18 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.4|12 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector in the direction of the vector (2, 3, 6).

Find a unit vector in the direction of vec(PQ) , where P and Q have coordinates (5, 0, 8) and (3, 3, 2), respectively.

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

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

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

Find the unit vector in the direction of sum of vectors vec(a)=2hati-hatj+hatk and bar(b)=2hatj+hatk .

Find a vector in the direction of the vector (3, -2, 2) which has magnitude 2sqrt(17) units.

The unit vector in the direction of the sum of the vectors (1, 1, 1),(2, -1,-1) and (0, 2, 6) ………..

KUMAR PRAKASHAN-VECTOR ALGEBRA -EXERCISE-10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  2. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  3. Write two different vectors having same magnitude.

    Text Solution

    |

  4. Write two different vectors having same direction.

    Text Solution

    |

  5. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

    Text Solution

    |

  6. Find the scalar and vector components of the vector with initial poi...

    Text Solution

    |

  7. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5h...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the unit vector in the direction of vector vec(PQ) , where P and ...

    Text Solution

    |

  10. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

    Text Solution

    |

  11. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

    Text Solution

    |

  12. Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are coll...

    Text Solution

    |

  13. Find the direction cosines of the vector hati+2hatj+3hatk.

    Text Solution

    |

  14. Find the direction cosines of the vector joining the points A(1,2,-3)...

    Text Solution

    |

  15. Show that the vector hati+hatj+hatk is equally inclined to the axes OX...

    Text Solution

    |

  16. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  17. Find the position vector of the mid point of the vector joining the p...

    Text Solution

    |

  18. Show that the points A, B and C with position vectors, vec(a)=3hati-4h...

    Text Solution

    |

  19. If triangle ABC (Fig 10.18), which of the following is not true : (A...

    Text Solution

    |

  20. If vec(a) and vec(b), are two collinear vectors, then which of the fol...

    Text Solution

    |