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

Find the unit vector in the direction of the sum of vectors , `veca=2hati+2hatj-5hatkandvecb=2hati+hatj+3hatk`.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.1|5 Videos

  • VECTOR ALGEBRA

    NCERT BANGLISH|Exercise EXERCISE 10.2|19 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

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

Find the unit vector perpendicular to both the vectors vecA=(2hati+2hatj+2hatk) and vecB=(hati-hatj+2hatk) .

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

A unit vector which is perpendicular to both the vectors veca=hati-hatj-hatk and vecb=hati+hatj+hatk is -

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2hati+3hatj-hatkandvecb=hati-2hatj+hatk .

Find angle theta between the vectors veca=hati+hatj-hatkandvecb=hati+hatj+hatk .

Find the angle between the two vectors vecA =hati-2hatj+3hatk and vecB=2hati+hatj+3hatk .

Find the projection of the vector veca=2hati+3hatj+2k on the vector vecb=hati+2hatj+hatk .

Find the angle between the two vectors vecA = hati + 2hatj + 3hatk and vecB = 2hati+ hatj + 4hatk .

Find the unit vector which is perpendicular to both veca = 2hati + 3hatj - hatk and vecb = 3hati - hatj + hatk and also find the angle between them.

NCERT BANGLISH-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Find the unit vector in the direction of the sum of vectors , veca=2ha...

    Text Solution

    |

  2. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

    Text Solution

    |

  3. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  4. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

    Text Solution

    |

  5. If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

    Text Solution

    |

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

    Text Solution

    |

  7. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  8. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

    Text Solution

    |

  9. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , ...

    Text Solution

    |

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

    Text Solution

    |

  11. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

    Text Solution

    |

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

    Text Solution

    |

  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

    Text Solution

    |

  14. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

    Text Solution

    |

  15. If with reference to the right handed system of mutually perpendicular...

    Text Solution

    |

  16. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

    Text Solution

    |

  17. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

    Text Solution

    |

  18. Let vecaandvecb be two unit vectors and theta is the angle between the...

    Text Solution

    |

  19. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

    Text Solution

    |

  20. If theta is the angle between any two vectors vecaandvecb, then |veca*...

    Text Solution

    |