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

Find a unit vector in the direction of following vectors
`-2hati+hatj+2hatk`

Text Solution

Verified by Experts

The correct Answer is:
`(-2)/(3)hati+(1)/(3)hatj+(2)/(3)hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION III) |31 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION IV)|8 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION I) MCQ|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Find a unit vector in the direction of the resultant of the vectors (hati+2hatj+3hatk),(-hati+2hatj+hatk) and (3hati+hatj) .

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Find a unit vector in the direction of following vectors 2hati-3hatj...

    Text Solution

    |

  2. Find a unit vector in the direction of following vectors 2hati-6hatj...

    Text Solution

    |

  3. Find a unit vector in the direction of following vectors -2hati+hatj...

    Text Solution

    |

  4. Write unit vector in the direction of the sum of vectors veca=2hati+...

    Text Solution

    |

  5. Write unit vector in the direction of the sum of vectors veca=2hati+...

    Text Solution

    |

  6. Write a vector of magnitude 9 units in the direction of vector -2hati+...

    Text Solution

    |

  7. Write a vector of magnitude 6 units in the direction of vector 2hati-h...

    Text Solution

    |

  8. Find a vector of magnitude 5 units, and parallel to the resultant of t...

    Text Solution

    |

  9. Find the direction cosines of the vector -2hati+hatj-5hatk.

    Text Solution

    |

  10. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  11. Show that the vector veci+vecj+veck is equally inclined to the axes O...

    Text Solution

    |

  12. Write the direction ratios of the vector r=hati-hatj+2hatk and hence c...

    Text Solution

    |

  13. If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

    Text Solution

    |

  14. Find the direction cosine of the line joining the points (1,0,0) and (...

    Text Solution

    |

  15. Find the value of 'p' for which the vector 3hati+2hatj+9hatk and hati-...

    Text Solution

    |

  16. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

    Text Solution

    |

  17. Show that points A(-2,1),B(-5,-1) and C(1,3) are collinear.

    Text Solution

    |

  18. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

    Text Solution

    |

  19. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

    Text Solution

    |

  20. Find the position vector of mid point of the line segment AB where A i...

    Text Solution

    |