Home
Class 12
MATHS
Find the value of x for which x(hati + h...

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

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt(3))`
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 the values of 'x' for which x(hati+hatj+hatk) is a unit vector.

The two adjacent sides of a parallelogram are given by the vectors 3hati-6hatj+hatk and hati+4hatj+3hatk Find a unit vector parallel to its diagonal (longer). Also find the area of parallelogram.

The two adjacent sides of a parallelogram are given by the vectors 2hati-3hatj+5hatk and hati+2hatj-3hatk Find a unit vector parallel to its diagonal (longer). Also find the area of parallelogram.

Adjacent sides of a parallelogram are given by the vectors 2hati-hatj+2hatk and hati+5hatj-hatk .Find a unit vector in the direction of its diagonal.Also find the area of parallelogram.

The two adjacent sides of a parallelogram are given by the vectors 2hati-4hatj+5hatk and hati-2hatj-3hatk Find a unit vector parallel to its diagonal (longer). Also find the area of parallelogram.

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

    |