Home
Class 12
MATHS
Show that the vector hati+hatj+hatk is e...

Show that the vector `hati+hatj+hatk` is equally inclined with the coordinate axes.

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

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

Show that the line of intersection of the planes vecr*(hati+2hatj+3hatk)=0 and vecr*(3hati+2hatj+hatk)=0 is equally inclined to hati and hatk . Also find the angleit makes with hatj .

The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is

The unit vector which is orthogonal to the vector 3hati+2hatj+6hatk and is coplanar with the vectors 2hati+hatj+hatk and hati -hatj+hatk is

Show that the vectors hati+2hatj-3hatk , 2hati-hatj+2hatk and 3hati+hatj-hatk are coplanar.

Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj-4hatk form a right angled triangle.

Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk form the vertices of a right angled triangle.

Statement 1: Vector vecc = 5hati + 7 hatj + 2hatk is along the bisector of angle between veca = hati + 2hatj + 2hatk and vecb = -8 hati + hatj - 4hatk . Statement 2 : vecc is equally inclined to veca and vecb .

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

    |