Home
Class 12
MATHS
If veca=hati+hatj+2hatkandvecb=2hati+hat...

If `veca=hati+hatj+2hatkandvecb=2hati+hatj-2hatk`, then find the unit vector in the direction of
(i) `6vecb` (ii) `2veca-vecb`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(2hati + hatj - 2hatk)/3`, (ii) `1/sqrt(37) (hatj + 6hatk)`
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

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

If veca=hati+2hatj-hatk and vecb=3hati+hatj-hatk find a unit vector int direction of veca-vecb .

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .

If veca=3hati+hatj-4hatk and vecb=6hati+5hatj-2hatk find |veca Xvecb|

If vecA= 6hati- 6hatj+5hatk and vecB= hati+ 2hatj-hatk , then find a unit vector parallel to the resultant of veca & vecB .

If veca = 2hati -3hatj-1hatk and vecb =hati + 4hatj -2hatk " then " veca xx vecb is

If veca=4hati+3hatj+2hatk and vecb=3hati+2hatk , find |vecbxx2veca|

If veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk calculate veca+vecb

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

VMC MODULES ENGLISH-VECTORS -JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)
  1. If veca=hati+hatj+2hatkandvecb=2hati+hatj-2hatk, then find the unit ve...

    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

    |