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

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

Text Solution

Verified by Experts

The correct Answer is:
`(-2hati + 3hatj -6hatk)/7`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -1|90 Videos
  • VECTORS

    VMC MODULES ENGLISH|Exercise LEVEL -2|47 Videos
  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

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.

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.

Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n d\ Q are the points (1, 3, 0) and (4, 5, 6) respectively.

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

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

Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat k

Find a unit vector in the direction of vec a=2 hat i-\ 3 hat j+6 hat k

Find a vector of magnitude 11 in the direction opposite to that of vec PQ , where P and Q are the points (1,3,2) and (1,0,8) respectively.

Find a unit vector in the direction of the vector vec a=3 hat i-2 hat j+6 hat kdot

Find the coordinates of the tip of the position vector which is equivalent to vec A B , where the coordinates of A and B are (-1,3) and (-2,1) respectively.

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. Find a unit vector in the direction of vec(PQ), where P and Q have coo...

    Text Solution

    |

  2. Sate true/false. The points with position vectors veca + vecb, veca-ve...

    Text Solution

    |

  3. Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...

    Text Solution

    |

  4. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

    Text Solution

    |

  5. If vecX.vecA=0, vecX.vecB=0,vecX.vecC=0 for some non-zero vector, vecX...

    Text Solution

    |

  6. find three- dimensional vectors, vecv1, vecv2 and vecv3" satisfying "...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  9. Determine the value of c so that for all real x , vectors c x hat i-6 ...

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. Let OACB be a parallelogram with O at the origin and OC a diagonal. Le...

    Text Solution

    |

  12. Let vec A(t) = f1(t) hat i + f2(t) hat j and vec B(t) = g(t)hat i+g2(...

    Text Solution

    |

  13. If veca, vecb, vecc and vecd ar distinct vectors such that veca xx v...

    Text Solution

    |

  14. For any two vectors vecu and vecv prove that (1+|vecu|^2)(1+|vecv|^2) ...

    Text Solution

    |

  15. A , B , Ca n dD are any four points in the space, then prove that |...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. vecu, vecv and vecw are three nono-coplanar unit vectors and alpha, be...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Let vecu and vecv be unit vectors. If vecw is a vector such that vecw+...

    Text Solution

    |

  20. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

    Text Solution

    |

  21. If vecA , vecB and vecC are vectors such that |vecB| = |vecC| prove th...

    Text Solution

    |