Home
Class 12
MATHS
Find a vector in the direction of 5hati-...

Find a vector in the direction of `5hati-hatj+2hatk`, which has magnitude 8 units.

Text Solution

Verified by Experts

The correct Answer is:
`(40)/(sqrt(30))hati-(8)/(sqrt(30))hatj+(16)/(sqrt(30))hatk`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES SECTION III |21 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES SECTION V|10 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

  • THREE DIMENSIONAL GEOMETRY

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

Similar Questions

Explore conceptually related problems

Find a vector in the direction of : hati-2hatj+2hatk , which has magnitude 15 units.

Find a vector in the direction of : -2hati+hatj+2hatk , which has magnitude 9 units.

Find a vector in the direction of : veca=3hati-hatj+2hatk , which has magnitude 6 units.

Find the vector in the direction of the vector hati-2hatj that has magnitude 7 units.

The vector in the direction of the vector hati-2hatj+2hatk that has magnitude 9 is

Find a vector in the direction of vector 5veci - vecj + 2veck which has magnitude 8 units.

If veca=2hati+sqrt3hatj+3hatk and vecb=3hati+2hatj-2sqrt3hatk , then : find a vector in the direction of veca that has magnitude 7 units.

If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk , then find a vector in the direction of a and having magnitude as |b|.

If veca=2hati-hatj+hatk and vecb=-2hati+hatk , then the vector in the direction of veca+vecb with magnitude 9 is :

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -SOLVED EXAMPLES SECTION II (SHORT ANSWER TYPE QUESTIONS)
  1. Compute the magnitude of the following vectors : veca=hati+hatj+hatk...

    Text Solution

    |

  2. Find the scalar and vector components of the vector with initial point...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

    Text Solution

    |

  7. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

    Text Solution

    |

  8. Find the unit vector in the direction of the sum of the vectors veca=2...

    Text Solution

    |

  9. Find the direction cosines of the vector veci+2vecj+3veck ।

    Text Solution

    |

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

    Text Solution

    |

  11. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

    Text Solution

    |

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

    Text Solution

    |

  13. Find the position vector of the mid point of the vector joining the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |