Home
Class 12
MATHS
For given vectors veca=2hati-hatj+2hatka...

For given vectors `veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk`, find the unit vector in the direction of the vector `veca+vecb`.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NCERT TAMIL|Exercise EXERCISE 10.3|18 Videos

  • VECTOR ALGEBRA

    NCERT TAMIL|Exercise EXERCISE 10.4|12 Videos

  • VECTOR ALGEBRA

    NCERT TAMIL|Exercise EXERCISE 10.1|4 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    NCERT TAMIL|Exercise EXERCISE 5.6|25 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The unit vector in the direction of vecA=hati+hatj+hatk is

If the sides of an angle are given by vectors veca=hati-2hatj+2hatk and vecb=2hati+hatj+2hatk , then find the internal bisector of the angle.

If veca=hati+hatj+hatk,vecb=2hati-hatj+3hatkandvecc=hati-2hatj+hatk , find a unit vector parallel to the vector 2veca-vecb+3vecc .

Find |vecaxxvecb|, if veca=hati-7hatj+7hatkandvecb=3hati-2hatj+2hatk .

NCERT TAMIL-VECTOR ALGEBRA-EXERCISE 10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  2. Write two different vectors having same magnitude.

    Text Solution

    |

  3. Write two different vectors having the same direction.

    Text Solution

    |

  4. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

    Text Solution

    |

  10. Find a vector in the direction of vector 5 hat i - hat j + 2 hat k whi...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the direction cosines of the vector hati+2hatj+3hatk.

    Text Solution

    |

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

    Text Solution

    |

  14. Show that the vector hati+hatj+hatk is equally inclined with the coord...

    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 the mid point of the vector joining the p...

    Text Solution

    |

  17. Show that the points A,B and C with position vectors , veca=3hati-4hat...

    Text Solution

    |

  18. In triangle ABC, which of the following is not true?

    Text Solution

    |

  19. If vec a and vec b are collinear vectors, then which of the following ...

    Text Solution

    |